New double Wronskian solutions of the AKNS equation  

作　　者：CHEN DenYuan ZHANG DaJun BI JinBo 

机构地区：[1]Department of Mathematics,Shanghai University,Shanghai 200444,China

出　　处：《Science China Mathematics》2008年第1期55-69,共15页中国科学：数学（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China (Grant No. 10371070, 10671121)

摘　　要：Soliton solutions, rational solutions, Matveev solutions, complexitons and interaction solutions of the AKNS equation are derived through a matrix method for constructing double Wronskian entries. The latter three solutions are novel. Moreover, rational solutions of the nonlinear Schr?dinger equation are obtained by reduction.Soliton solutions, rational solutions, Matveev solutions, complexitons and interaction solutions of the AKNS equation are derived through a matrix method for constructing double Wronskian entries. The latter three solutions are novel. Moreover, rational solutions of the nonlinear Schrodinger equation are obtained by reduction.

关 键 词：AKNS equation the Wronskian technique double Wronski determinant 35Q51 35Q58 

分 类 号：O175.2[理学—数学]