(2+1)维AKNS方程的行波解研究

doi:10.13371/j.cnki.chin.q.j.m.2015.03.002

数学季刊 ›› 2015, Vol. 30 ›› Issue (3): 323-329.doi: 10.13371/j.cnki.chin.q.j.m.2015.03.002

(2+1)维AKNS方程的行波解研究

1. School of Mathematics and Physics, Suzhou University of Science and Technology2. Primary Teaching Department, College of Mechanical and Electrical Engineering, Anhui Polytechnic University

收稿日期:2014-09-19 出版日期:2015-09-30 发布日期:2020-11-20
作者简介:CHENG Zhi-long(1987-), male, native of Wuyuan, Jingxi, a lecturer of Suzhou University of Sience and Technology, M.S.D., engages in soliton and integrable system; HAO Xiao-hong(corresponding author)(1986-), female, native of Baoding, Hebei, a lecturer of Anhui Polytechnic University, M.S.D., engages in functional differential equations.
基金资助:
Supported by the NSFC(10831003)；

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

1. School of Mathematics and Physics, Suzhou University of Science and Technology2. Primary Teaching Department, College of Mechanical and Electrical Engineering, Anhui Polytechnic University

Received:2014-09-19 Online:2015-09-30 Published:2020-11-20
About author:CHENG Zhi-long(1987-), male, native of Wuyuan, Jingxi, a lecturer of Suzhou University of Sience and Technology, M.S.D., engages in soliton and integrable system; HAO Xiao-hong(corresponding author)(1986-), female, native of Baoding, Hebei, a lecturer of Anhui Polytechnic University, M.S.D., engages in functional differential equations.
Supported by:
Supported by the NSFC(10831003)；

摘要/Abstract

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.

关键词: (2 + 1)-dimensional AKNS equation, soliton solution

Abstract: 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.

Key words: (2 + 1)-dimensional AKNS equation, soliton solution

中图分类号:

O175.29

程智龙, 郝晓红. (2+1)维AKNS方程的行波解研究[J]. 数学季刊, 2015, 30(3): 323-329.

CHENG Zhi-long, HAO Xiao-hong. The Travelling Wave Solutions for (2+1)-dimensional AKNS Equation[J]. Chinese Quarterly Journal of Mathematics, 2015, 30(3): 323-329.

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[2]	马云苓. 两个m-KdV多维类似方程的N-孤子解[J]. 数学季刊, 2011, 26(3): 434-439.

(2+1)维AKNS方程的行波解研究

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

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