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Controlling second-order rogue matter wave and line bright soliton dynamics in 2D Bose–Einstein Condensate with higher-order interactions and gain/loss atoms

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Chaos, Solitons and Fractals 2025年 198卷

作者： Nkenfack, Cyrille Edgard Lekeufack, Olivier Tiokeng Sabari, Subramaniyan Yamapi, Rene Kofane, Timoleon Crepin Pure physics Laboratory: Group of nonlinear physics and complex systems Department of Physics Faculty of Science University of Douala P.O. Box 24157 Douala Cameroon SP São Paulo01140-070 Brazil Department of Physics and Astronomy Botswana International University of Science and Technology Private Mail Bag 16 Palapye Botswana

We investigate the two-dimensional modified Gross–Pitaevskii equation, accounting for the effects of atom gain/loss and a time-independent isotropic confining potential, utilizing the Hirota's bilinear method. Through an appropriate bilinear form, we derive exact one-soliton and multi-soliton solutions. These solutions showcase two prominent phenomena: the second-order rogue matter wave with spatio-temporal localization, and the line soliton with double spatial localization. We demonstrate the feasibility of controlling the soliton amplitude and the effects of gain/loss resulting in areas of collapse by suitably tuning the coefficient of higher-order interactions in the Bose–Einstein condensate. Additionally, by exploring the interaction dynamics of the multi-soliton solutions, we identify elastic-type interactions, claiming the intrinsic properties of solitons. The influence of higher-order interactions and gain/loss terms on the interaction dynamics is also thoroughly analyzed. These analyses demonstrate that, within the framework of Bose–Einstein condensates described by the two-dimensional modified Gross–Pitaevskii equation, higher-order interactions provide a means to control the properties of the generated rogue matter waves. Intensive numerical simulations are performed and their convergence with theoretical predicted results then throw light about the emergent features of the chosen solutions. The exact analytical solutions derived in this study rigorously satisfy the original equation, which ensures their consistency with the numerical results and confirms their accuracy. Thus, our findings hold promise for potential future applications. © 2025 Elsevier Ltd

关键词： Solitons

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Chaotic dynamics creates and destroys branched flow

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Physical Review E 2025年第1期111卷 014214-014214页

作者： Alexandre Wagemakers Aleksi Hartikainen Alvar Daza Esa Räsänen Miguel A. F. Sanjuán Nonlinear Dynamics Chaos and Complex Systems Group Departamento de Física Universidad Rey Juan Carlos Tulipán s 28933 Móstoles Madrid Spain Computational Physics Laboratory Tampere University 33720 Tampere Finland Department of Physics Harvard University Cambridge Massachusetts 02138 USA

The phenomenon of branched flow, visualized as a chaotic arborescent pattern of propagating particles, waves, or rays, has been identified in disparate physical systems ranging from electrons to tsunamis, with periodic systems only recently being added to this list. Here, we explore the laws governing the evolution of the branches in periodic potentials. On one hand, we observe that branch formation follows a similar pattern in all nonintegrable potentials, no matter whether the potentials are periodic or completely irregular. Chaotic dynamics ultimately drives the birth of the branches. On the other hand, our results reveal that for periodic potentials the decay of the branches exhibits new characteristics due to the presence of infinitely stable branches known as superwires. Again, the interplay between branched flow and superwires is deeply connected to Hamiltonian chaos. In this work, we explore the relationships between the laws of branched flow and the structures of phase space, providing extensive numerical and theoretical arguments to support our findings.

关键词： Hamiltonians

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Influence of next-nearest neighbor interactions on the dynamics of discrete energy transport within neuronal microtubules

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Chaos, Solitons and Fractals 2025年 198卷

作者： Abouem A Ribama, R. Youssoufa, M. Ondoua, R.Y. Djoufack, Z.I. Nguenang, J.P. Pure Physics Laboratory: Group of Nonlinear physics and Complex systems Department of Physics University of Douala P.O. Box 24157 Douala Cameroon Laboratory of Biophysics Department of Physics Faculty of Science University of Yaoundé I P.O. Box 812 Yaoundé Cameroon African Centre for Advanced Studies P.O. Box 4477 Yaoundé Cameroon Fotso Victor University Institute of Technology P.O. Box 134 Bandjoun University of Dschang Cameroon 6 Melrose Road Muizenberg Cape Town7945 South Africa

In this study, we investigate the influence of next-nearest neighbor interactions or homodimer coupling on the dynamics of quantum breathers in neuronal microtubules (nMTs) using both analytical and numerical methods. From the classical model describing the dynamics of the microtubule using a Hamiltonian, we formulated its quantum equivalent through Bose operators. By employing Ehrenfest's theorem and Glauber's method of coherent states, we showed that nMT dynamics can be described by the discrete nonlinear Schrödinger equation (DNLSE). The analysis of modulational instability (MI) allowed us to define localization zones for breathers, revealing the impact of the second coupling term and well width on system's behavior. We conducted numerical simulations to examine three scenarios based on homodimer and heterodimer coupling values in relation to breather propagation. We found that homodimer coupling enhances the temporal distribution of energy and extends breather localization towards the central site. Additionally, we observed that energy within nMTs is quantized with a linear profile, influenced by homodimer coupling. The interaction between two breathers indicated that this coupling also affects energy exchanges, impacting the collective dynamics of microtubules and potentially stabilizing or destabilizing configurations, thereby influencing neuronal responses. These findings enhance the understanding of energy transfer in biological systems such as the nervous system, which is responsible for coordinating actions and rapid communication within the body. This system, also known as the neuronal system, utilizes synapses to transmit signals. In this process, neurons release chemical neurotransmitters that can influence the activity of receiving cells. © 2025 Elsevier Ltd

关键词： nonlinear equations

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Modulational Instability in a Pair of Non-identical Coupled nonlinear Electrical Transmission Lines

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Communications in Theoretical physics 2013年第7期60卷 93-100页

作者： Eric Tala-Tebue Aurelien Kenfack-Jiotsa Marius Herv Tatchou-Ntemfack Timolon Crpin Kofan Laboratory of Mechanics Department of Physics Faculty of Sciences University of YaoundI Nonlinear Physics and Complex Systems Group Department of Physics The Higher Teachers' Training College University of Yaounde I

In this work, we investigate the dynamics of modulated waves non-identical coupled nonlinear transmission lines. Traditional methods for avoiding mode mixing in identical coupled nonlinear electrical lines consist of adding the same number of linear inductors in each branch. Adding linear inductors in a single line leads to asymmetric coupled nonlinear electrical transmission lines which propagate the signal and the mode mixing. On one hand, the difference between the two lines induced the fission for only one mode of propagation. This fission is influenced by the amplitude of the signal and the amount of the input energy as well; it also narrows the width of the input pulse soliton, leading to a possible increasing of the bit rate. On the other hand, the dissymmetry of the two lines converts the network into a good amplifier for the ω_ mode which corresponds to the regime admitting low frequencies.

关键词： nonlinear lines mixing suppression fission

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Controlling second-order rogue matter wave and line bright soliton dynamics in 2D Bose-Einstein Condensate with higher-order interactions and gain/loss atoms

arXiv

引用

arXiv 2025年

作者： Nkenfack, Cyrille Edgard Lekeufack, Olivier Tiokeng Sabari, Subramaniyan Yamapi, Rene Kofane, Timoleon Crepin Pure physics Laboratory Group of nonlinear physics and complex systems Department of Physics Faculty of Science University of Douala P.O. Box 24157 Douala Cameroon SP São Paulo01140-070 Brazil Department of Physics and Astronomy Botswana International University of Science and Technology Private Mail Bag 16 Palapye Botswana

We investigate the two-dimensional modified Gross-Pitaevskii equation, accounting for the effects of atom gain/loss and a time-independent isotropic confining potential, utilizing the Hirota’s bilinear method. Through an appropriate bilinear form, we derive exact one-soliton and multi-soliton solutions. These solutions showcase two prominent phenomena: the second-order rogue matter wave with spatio-temporal localization, and the line soliton with double spatial localization. We demonstrate the feasibility of controlling the soliton amplitude and the effects of gain/loss resulting in areas of collapse by suitably tuning the coefficient of higher-order interactions in the Bose-Einstein condensate. Additionally, by exploring the interaction dynamics of the multi-soliton solutions, we identify elastic-type interactions, claiming the intrinsic properties of solitons. The influence of higher-order interactions and gain/loss terms on the interaction dynamics is also thoroughly analyzed. These analyses demonstrate that, within the framework of Bose-Einstein condensates described by the two-dimensional modified Gross-Pitaevskii equation, higher-order interactions provide a means to control the properties of the generated rogue matter waves. Intensive numerical simulations are performed and their convergence with theoretical predicted results then throw light about the emergent features of the chosen solutions. The exact analytical solutions derived in this study rigorously satisfy the original equation, which ensures their consistency with the numerical results and confirms their accuracy. Thus, our findings hold promise for potential future applications. © 2025, CC BY.

关键词： Solitons

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Parameters optimization of grounded dynamic vibration absorber with pendulum connected via the lever mechanism

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Noise and Vibration Worldwide 2023年第6期54卷 297-306页

作者： Baduidana, Marcial Kenfack-Jiotsa, Aurelien Laboratory of Mechanics Materials and Structures Department of Physics Faculty of Science University of Yaounde Yaounde Cameroon Nonlinear and Complex Systems Physics Group Departement of Physics The Higher Teacher Training College University of Yaounde Yaounde Cameroon Department of Physics Higher Teacher Training College University of Yaounde Yaounde Cameroon

This paper investigates the control performance of grounded dynamic vibration absorber (DVA) with pendulum connected via the lever mechanism. These optimal parameters are found based on the extended fixed point theory. However, in the optimal equivalent stiffness derivation process, it was found that the amplified mass ratio could only take limited values to guarantee the stability condition of the coupled system and make positive equivalent stiffness. As a result, the best working range of the amplified mass ratio was established. The results analysis of the influence of system parameters on the primary system response shown that the amplified mass ratio has greatly vibration reduction effect, which push the peak resonant vibration of the primary system smaller than its static response without control. To better understand the control performance of the proposed DVA, three other dynamic vibration absorbers with or without negative stiffness are considered. The control performance comparison show that under harmonic excitation or even random excitation of the primary system, the proposed DVA model has a significant vibration reduction effect compared to the considered its DVA counterparts. The interest of these relevant results can be used in the field of vibration control engineering. © The Author(s) 2023.

关键词： Pendulums

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Localized nonlinear waves in a myelinated nerve fiber with self-excitable membrane

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Chinese physics B 2023年第2期32卷 150-162页

作者： Nkeh Oma Nfor Patrick Guemkam Ghomsi Francois Marie Moukam Kakmeni Department of Physics HTTC BambiliUniversity of BamendaP.P.Box 39 BambiliCameroon Complex Systems and Theoretical Biology Group Laboratory of Research on Advanced Materials and Nonlinear Science(LaRAMaNS)Department of PhysicsFaculty of ScienceUniversity of BueaP.O.Box 63 BueaCameroon

We systematically study the evolution of modulated nerve impulses in a myelinated nerve fiber, where both the ionic current and membrane capacitance provide the necessary nonlinear feedbacks. This is achieved by using a perturbation technique, in which the Liénard form of the modified discrete Fitzhugh–Nagumo equation is reduced to the complex Ginzburg–Landau amplitude equation. Three distinct values of the capacitive feedback parameter are considered. At the critical value of the capacitive feedback parameter, it is shown that the dynamics of the system is governed by the dissipative nonlinear Schr?dinger equation. Linear stability analysis of the system depicts the instability of plane waves,which is manifested as burst of modulated nerve impulses that fulfills the Benjamin–Feir criteria. Variations of the capacitive feedback parameter generally influences the plane wave stability and hence the type of wave profile identified in the neural network. Results of numerical simulations mainly confirm the propagation, collision, and annihilation of nerve impulses in the myelinated axon.

关键词： myelinated nerve Fitzhugh–Nagumo capacitive feedback parameter Ginzburg–Landau collision annihilation

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Effect of power-law nonlinearity on PT-symmetric optical system with fourth-order diffraction

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Communications in Theoretical physics 2020年第5期72卷 32-40页

作者： Nathan N Tchepemen Camus G L Tiofack Alidou Mohamadou Pure Physics Laboratory Group of Nonlinear Physics and Complex SystemsDepartment of PhysicsFaculty of scienceUniversity of DoualaPO Box 24157DoualaCameroon Condensed Matter Laboratory Department of PhysicsFaculty of ScienceUniversity of MarouaPO Box 814MarouaCameroon Centre d'Excellence Africain des Technologies de l'Information et de la Communication(CETIC) University of Yaounde ICameroon The Abdus Salam International Centre for Theoretical Physics PO Box 538Strada costiera 11I-34014TriesteItaly

Gaussian-type soliton solutions of the nonlinear Schr?dinger(NLS)equation with fourth order dispersion,and power law nonlinearity in the novel parity-time(TP)-symmetric quartic Gaussian potential are derived analytically and *** exact analytical expressions of the solutions are obtained in the first two-dimensional(1D and 2D)power law NLS *** means of the linear stability analysis,the effect of power law nonlinearity on the stability of Gauss type solitons in different nonlinear media is carried *** investigations do confirm the stability of our soliton solutions in both focusing and defocusing cases,specially around the propagation parameters.

关键词： TP-symmetric quartic Gaussian potential fourth-order diffraction powerlaw nonlinearity stability Gaussian soliton

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Investigation of bright and dark solitons in α,β-Fermi Pasta Ulam lattice

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Chinese physics B 2021年第2期30卷 211-219页

作者： Nkeh Oma Nfor Serge Bruno Yamgoué Francois Marie Moukam Kakmeni Department of Physics Higher Teacher Training College BambiliThe University of BamendaP.O.Box 39Bambili-Cameroon Complex Systems and Theoretical Biology Group Laboratory of Research on Advanced Materials and Nonlinear Science(LaRAMaNS)Department of PhysicsFaculty of ScienceUniversity of BueaP.O.Box 63 Buea-Cameroon

We consider the Hamiltonian ofα,β-Fermi Pasta Ulam lattice and explore the Hamilton-Jacobi formalism to obtain the discrete equation of *** using the continuum limit approximations and incorporating some normalized parameters,the extended Korteweg-de Vries equation is obtained,with solutions that elucidate on the Fermi Pasta Ulam *** further derive the nonlinear Schrodinger amplitude equation from the extended Korteweg-de Vries equation,by exploring the reductive perturbative *** dispersion and nonlinear coefficients of this amplitude equation are functions of theαandβparameters,with theβparameter playing a crucial role in the modulational instability analysis of the ***βgreater than or equal to zero,no modulational instability is observed and only dark solitons are identified in the *** forβless than zero,bright solitons are traced in the lattice for some large values of the *** of numerical simulations of both the Korteweg-de Vries and nonlinear Schr¨odinger amplitude equations with periodic boundary conditions clearly show that the bright solitons conserve their amplitude and shape after collisions.

关键词： Fermi Pasta Ulam paradox bright dark

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PT-symmetric electronic dimer without gain material

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Communications in Theoretical physics 2023年第11期75卷 56-65页

作者： Senghor Tagouegni Fernande Fotsa-Ngaffo Aurélien Kenfack-Jiotsa Laboratory of Mechanics Materials and StructuresDepartment of PhysicsFaculty of ScienceUniversity of Yaounde IPO Box 812YaoundeCameroon Nonlinear Physics and Complex Systems Group Department of PhysicsThe Higher Teacher’s Training CollegeUniversity of Yaounde IPO Box 47 YaoundeCameroon Institute of Wood Technologies University of Yaounde IPO Box 306MbalmayoCameroon

In this paper,a way of building an electronic Parity Time(PT)-symmetric dimer without gain material is *** is achieved by capacitively coupling a pair of LZC circuits,each combining an inductance L,an imaginary resistance Z and a positive/negative capacitance *** derive the effective Hamiltonian of the system,which commutes with the joint PT *** eigenspectrum displays spontaneous breaking points,where the system undergoes a transition from real to complex *** transition points are imposed by the range value of the coupling thanks to the use of a negative *** charge solutions and energy propagation are also analytically and numerically investigated,and the results are *** the exact phase,these quantities oscillate,whereas in the broken phase,oscillations disappear,giving place to *** results pave the way to innovative PT-symmetric *** could include,among others,optics,metamaterials,photonics and sensitive detection.

关键词： negative capacitance parity-time(PT)symmetry imaginary resistance

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