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
收藏
页数：6
相关论文
共 22 条
[1]   Soliton solutions of the generalized Davey-Stewartson equation with full nonlinearities via three integrating schemes [J].
Arshed, Saima ;
Raza, Nauman ;
Alansari, Monairah .
AIN SHAMS ENGINEERING JOURNAL, 2021, 12 (03) :3091-3098
[2]   New Exact Solutions and Modulation Instability for the Nonlinear (2+1)-Dimensional Davey-Stewartson System of Equation [J].
Boateng, Kwasi ;
Yang, Weiguo ;
Apeanti, Wilson Osafo ;
Yaro, David .
ADVANCES IN MATHEMATICAL PHYSICS, 2019, 2019
[3]   Solitary wave solutions for the variable-coefficient coupled nonlinear Schrodinger equations and Davey-Stewartson system using modified sine-Gordon equation method [J].
El-Shiekh, Rehab M. ;
Gaballah, Mahmoud .
JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2020, 5 (02) :180-185
[4]   Exact propagating dromion-like localized wave solutions of generalized (2+1)-dimensional Davey-Stewartson equations [J].
Kavitha, L. ;
Srividya, B. ;
Gopi, D. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (12) :4691-4707
[5]   New exact static solutions of Einstein-Maxwell field equations with a magnetic dipole [J].
Kumar, Sachin ;
Jyoti, Divya ;
Nisar, Kottakkaran Sooppy ;
Zakarya, M. .
RESULTS IN PHYSICS, 2021, 24
[6]   Fractional optical solitons of the space-time perturbed fractional Gerdjikov-Ivanov equation [J].
Li, Chaochao ;
Li, Genhao ;
Chen, Longwei .
OPTIK, 2020, 224
[7]   New exact solutions for a generalized KdV equation [J].
Li, Lingfei ;
Xie, Yingying ;
Zhu, Shihui .
NONLINEAR DYNAMICS, 2018, 92 (02) :215-219
[8]   Classification of All Single Traveling Wave Solutions of Fractional Perturbed Gerdjikov-Ivanov Equation [J].
Li, Zhao ;
Han, Tianyong .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
[9]   Dynamical Behavior and the Classification of Single Traveling Wave Solutions for the Coupled Nonlinear Schrodinger Equations with Variable Coefficients [J].
Li, Zhao ;
Li, Peng ;
Han, Tianyong .
ADVANCES IN MATHEMATICAL PHYSICS, 2021, 2021
[10]  
Lu Y., 1996, SCI CHINA, V26, P628
123