Solving the AKNS Hierarchy by Its Bilinear Form: Generalized Double Wronskian Solutions

作     者：YIN Fu-Mei SUN Ye-Peng CAI Fu-Qing CHEN Deng-Yuan 

作者机构：Institute of Applied Mathematics Naval Aeronautical Engineering Institute Yantai 264001 China Institute of Computational Mathematics and Scientific Engineering Computing AMSS the Chinese Academy of Sciences P.O. Box 2719 Beijing 100080 China Research Institute of Information Fusion Naval Aeronautical Engineering Institute Yantai 264001 China Department of Mathematics Shanghai University Shanghai 200444 China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2008年第49卷第2期

页      面：401-408页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：National Natural Science Foundation of China under Grant No.10371070 the Special Found for Major Specialities of Shanghai Education Committee China Postdoctoral Science Foundation 

主　　题：AKNS hierarchy Wronskian technique double Wronsikian solutions 

摘      要：Through the Wronskian technique, a simple and direct proof is presented that the AKNS hierarchy in the bilinear form has generalized double Wronskian solutions. Moreover, by using a unified way, soliton solutions, rational solutions, Matveev solutions and complexitons in double Wronskian form for it are constructed.