The exact solutions of generalized Davey-Stewartson equations with arbitrary power nonlinearities using the dynamical system and the first integral methods

DOI10.1515/MATH-2022-0469zbMath1496.34003OpenAlexW4295401593MaRDI QIDQ2084212

Yanjie Wang, Bo Cao, Beibei Zhang

Publication date: 18 October 2022

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2022-0469

zbMATH Keywords

solitary wave solutionfirst integral methodperiodic wave solutionkink wave solutiondynamical system methodgeneralized Davey-Stewartson equation

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Linear boundary value problems for ordinary differential equations (34B05)

Cites Work

• The first integral method and its application for deriving the exact solutions of a higher-order dispersive cubic-quintic nonlinear Schrödinger equation
• Soliton solutions of Davey-Stewartson equation by trial equation method and ansatz approach
• The first integral method for Wu-Zhang system with conformable time-fractional derivative
• Optical solitons with complex Ginzburg-Landau equation
• Traveling wave solution of bad and good modified Boussinesq equations with conformable fractional-order derivative
• Travelling wave solutions of the general regularized long wave equation
• A unified analysis of exact traveling wave solutions for the fractional-order and integer-order Biswas-Milovic equation: via bifurcation theory of dynamical system
• Solitons in nonlinear directional couplers with optical metamaterials
• Exact solitary wave and periodic-peakon solutions of the complex Ginzburg-Landau equation: dynamical system approach
• TRAVELING WAVES FOR AN INTEGRABLE HIGHER ORDER KDV TYPE WAVE EQUATIONS
• The first-integral method to study the Burgers–Korteweg–de Vries equation
• Exact Traveling Wave Solutions and Bifurcations of the Time-Fractional Differential Equations with Applications
• BIFURCATIONS AND EXACT TRAVELING WAVE SOLUTIONS OF THE GENERALIZED TWO-COMPONENT CAMASSA–HOLM EQUATION
• EXACT TRAVELING WAVE SOLUTIONS AND THEIR BIFURCATIONS FOR THE KUDRYASHOV–SINELSHCHIKOV EQUATION
• Solitons and Other Solutions for the Generalized KdV–mKdV Equation with Higher-order Nonlinear Terms

This page was built for publication: The exact solutions of generalized Davey-Stewartson equations with arbitrary power nonlinearities using the dynamical system and the first integral methods