Bifurcation Analysis and Single Traveling Wave Solutions of the Variable-Coefficient Davey-Stewartson System

被引：11

作者：

Han, Tianyong ^{[1
,2
]}

Wen, Jiajin ^{[1
]}

Li, Zhao ^{[1
]}

机构：

[1] Chengdu Univ, Coll Comp Sci, Chengdu 610106, Peoples R China

[2] Chengdu Univ Technol, Geomath Key Lab Sichuan Prov, Chengdu 610059, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2022年 / 2022卷

关键词：

SOLITON-SOLUTIONS; EQUATION; LAW;

D O I：

10.1155/2022/9230723

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper mainly studies the bifurcation and single traveling wave solutions of the variable-coefficient Davey-Stewartson system. By employing the traveling wave transformation, the variable-coefficient Davey-Stewartson system is reduced to two-dimensional nonlinear ordinary differential equations. On the one hand, we use the bifurcation theory of planar dynamical systems to draw the phase diagram of the variable-coefficient Davey-Stewartson system. On the other hand, we use the polynomial complete discriminant method to obtain the exact traveling wave solution of the variable-coefficient Davey-Stewartson system.

引用

页数：6

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