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

CHENG Zhi-long, HAO Xiao-hong

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

Chinese Quarterly Journal of Mathematics >

2015 , Vol. 30 >Issue 3: 323 - 329

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2015.03.002

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

Expand

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

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.

Received date: 2014-09-19

Online published: 2020-11-20

Supported by

Supported by the NSFC(10831003)；

Fold

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

Cite this article

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

Options

Outlines

模态框（Modal）标题

Abstract

Cite this article