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