The Travelling Wave Solutions for （2＋1）-dimensional AKNS Equation  

作　　者：程智龙 郝晓红 

机构地区：[1]School of Mathematics and Physics, Suzhou University of Science and Technology [2]Primary Teaching Department, College of Mechanical and Electrical Engineering, Anhui Polytechnic University

出　　处：《Chinese Quarterly Journal of Mathematics》2015年第3期323-329,共7页数学季刊（英文版）

基　　金：Supported by the NSFC(10831003)

摘　　要：Based on the travelling wave method, a(2 + 1)-dimensional AKNS equation is considered. Elliptic solution and soliton solution are presented and it is shown that the soliton solution can be reduced from the elliptic solution. It also proves that the result is consistent with the soliton solution of simplify Hirota bilinear method by Wazwaz and illustrate the solution are right travelling wave solution.Based on the travelling wave method, a（2 ＋ 1）-dimensional AKNS equation is considered. Elliptic solution and soliton solution are presented and it is shown that the soliton solution can be reduced from the elliptic solution. It also proves that the result is consistent with the soliton solution of simplify Hirota bilinear method by Wazwaz and illustrate the solution are right travelling wave solution.

关 键 词：(2+1)-dimensional AKNS EQUATION SOLITON SOLUTION 

分 类 号：O241.6[理学—计算数学]