New Exact Solutions of the (2 + 1)-Dimensional AKNS Equation  

作　　者：Yepeng Sun 

机构地区：[1]School of Mathematics and Quantitative Economics, Shandong University of Finance and Economics, Jinan, China

出　　处：《Journal of Applied Mathematics and Physics》2015年第11期1391-1405,共15页应用数学与应用物理（英文）

摘　　要：N-soliton solutions and the bilinear form of the (2 + 1)-dimensional AKNS equation are obtained by using the Hirota method. Moreover, the double Wronskian solution and generalized double Wronskian solution are constructed through the Wronskian technique. Furthermore, rational solutions, Matveev solutions and complexitons of the (2 + 1)-dimensional AKNS equation are given through a matrix method for constructing double Wronskian entries. The three solutions are new.N-soliton solutions and the bilinear form of the (2 + 1)-dimensional AKNS equation are obtained by using the Hirota method. Moreover, the double Wronskian solution and generalized double Wronskian solution are constructed through the Wronskian technique. Furthermore, rational solutions, Matveev solutions and complexitons of the (2 + 1)-dimensional AKNS equation are given through a matrix method for constructing double Wronskian entries. The three solutions are new.

关 键 词：(2 + 1)-Dimensional AKNS EQUATION RATIONAL SOLUTIONS Matveev SOLUTIONS Complexitons 

分 类 号：O1[理学—数学]