This manuscript examines the recently developed conformable three-dimensional Wazwaz-Benjamin-Bona-Mahony(3D-WBBM)equation’s dynamical behavior in terms of its spatial and temporal *** governing equation is stretch f...
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This manuscript examines the recently developed conformable three-dimensional Wazwaz-Benjamin-Bona-Mahony(3D-WBBM)equation’s dynamical behavior in terms of its spatial and temporal *** governing equation is stretch for the Korteweg-de-Vries equation that represents the unidirectional propagation of small amplitude long waves on the surface of hydro magnetic and acoustic waves in a channel,especially for shallow *** wave solutions of various types,such as kink and shock,as well as singleton,combined solitons,and complex solitons,are all ***,solutions to hyperbolic,exponential,and trigonometric functions are obtained through the use of recently developed methods,namely the Kudryashov method(KM),the modified Kudryashov method(MKM),and the new extended direct algebraic method(NEDAM).The study conducts a comparison of our findings to well-known findings,and concludes that the solutions reached here are ***,the earned results are sketched in different shapes to demonstrate their dynamics as a function of parameter *** can assert from the obtained results that the applied techniques are simple,vibrant,and quite well,and will be helpful tool for addressing more highly nonlinear issues in various of fields,especially in ocean and coastal ***,our findings are first step toward understanding the structure and physical behavior of complicated *** anticipate that our results will be highly valuable in bet-ter understanding the waves that occur in the *** feel that this work is timely and will be of interest to a wide spectrum of experts working on ocean engineering models.
In this paper,we describe the nonlinear behavior of a generalized fourth-order Hietarinta-type equa-tion for dispersive waves in(2+1)*** various wave formations are retrieved by using Hirota’s bilinear method(HBM)and...
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In this paper,we describe the nonlinear behavior of a generalized fourth-order Hietarinta-type equa-tion for dispersive waves in(2+1)*** various wave formations are retrieved by using Hirota’s bilinear method(HBM)and various test function *** Hirota method is a widely used and robust mathematical tool for finding soliton solutions of nonlinear partial differential equa-tions(NLPDEs)in a variety of disciplines like mathematical physics,nonlinear dynamics,oceanography,engineering sciences,and others requires bilinearization of nonlinear *** different wave structures in the forms of new breather,lump-periodic,rogue waves,and two-wave solutions are *** addi-tion,the physical behavior of the acquired solutions is illustrated in three-dimensional,two-dimensional,density,and contour profiles by the assistance of suitable *** on the obtained results,we can assert that the employed methodology is straightforward,dynamic,highly efficient,and will serve as a valuable tool for discussing complex issues in a diversity of domains specifically ocean and coastal *** have also made an important first step in understanding the structure and physical be-havior of complex structures with our findings *** believe this research is timely and relevant to a wide range of engineering *** results obtained are useful for comprehending the fundamental scenarios of nonlinear sciences.
In this paper,the higher dimensional generalized Korteweg-de-Varies-Zakharov-Kuznetsov(gKdV-ZK)equation is under *** model is used in the field of plasma physics which describes the effects of magnetic field on the we...
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In this paper,the higher dimensional generalized Korteweg-de-Varies-Zakharov-Kuznetsov(gKdV-ZK)equation is under *** model is used in the field of plasma physics which describes the effects of magnetic field on the weak ion-acoustic *** have applied two techniques,called asφ^(6)-model expansion method and the Hirota bilinear method(HBM)to explore the diversity of wave *** solutions are expressed in the form of hyperbolic,periodic and Jacobi elliptic function(JEF)***,the solitary wave solutions are also extracted.A comparison of our results to well-known results is made,and the study concludes that the solutions achieved here are ***,3-dimensional and contour profiles of achieved outcomes are drawn in order to study their dynamics as a function of parameter *** the basis of the obtained results,we can assert that the pro-posed computational methods are straightforward,dynamic,and well-organized,and will be useful for solving more complicated nonlinear problems in a variety of fields,particularly in nonlinear sciences,in conjunction with symbolic ***,our discoveries provide an important milestone in comprehending the structure and physical behavior of complex *** hope that our findings will contribute significantly to our understanding of ocean *** study,we hope,is appropriate and will be of significance to a broad range of experts involved in ocean engineering models.
In this manuscript, we discuss the dynamical behavior of improved perturbed nonlinear Schrödinger equation (NLSE) which propagates optical pulses in nonlinear optical fibers. The governing equation is composed of...
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In this article, we explore the geodesics motion of neutral test particles and the process of energy extraction from a regular rotating Hayward black hole. We analyse the effect of spin, as well as deviation parameter...
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To address environmental issues related to heating, the Chinese government launched the “Clean Heating Plan in the Northern Region” as a national energy transition strategy, renovating heating systems for over 30 mi...
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To address environmental issues related to heating, the Chinese government launched the “Clean Heating Plan in the Northern Region” as a national energy transition strategy, renovating heating systems for over 30 million households in 88 cities. With the completion of five implementation phases by March 2024, this study presents an evaluation framework to comprehensively assess the environmental, health, and economic impacts of the policy. On-site surveys were conducted annually, monitoring the advancements of clean heating renovations in over 100,000 households across these cities. Combined with air pollution metrics, meteorological data, and city statistical records, a Difference-in-Differences (DID) model with continuous treatment was used to evaluate the environmental benefits associated with the incremental adoption of clean heating in each city. Subsequently, a health impact assessment and cost-benefit analysis were conducted to analyze changes in all-cause mortality and their associated economic benefits. Results indicated an average PM 2.5 reduction of 10.31 μg/m 3 (95 % CI: [9.25, 11.37]) per heating season and an annual reduction of 1573 in all-cause mortality (95 % CI: [630, 2518]). The economic benefits of these improvements were estimated at 717.1 billion CNY, contributing to an average benefit-cost ratio of 1.48. The proposed evaluation framework serves as a structured method for evaluating the environmental, health, and economic impacts of the energy policy and provides robust evidence to support implementing similar initiatives.
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