Exact dynamical behavior for a dual Kaup-Boussinesq system by symmetry reduction and coupled trial equations method

DOI10.1186/s13662-019-2357-0zbMath1485.35334OpenAlexW2981603323MaRDI QIDQ2114081

Wen-He Li, Yong Wang

Publication date: 14 March 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-2357-0

zbMATH Keywords

symmetryexact solutionKaup-Boussinesq systemcomplete discrimination system for polynomialtrial equation method

Mathematics Subject Classification ID

Soliton equations (35Q51) Soliton solutions (35C08) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (2)

Traveling wave solution of the Kaup-Boussinesq system with beta derivative arising from water waves ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• The general solution for impulsive differential equations with Riemann-Liouville fractional-order \(q\in (1,2)\)
• Soliton solutions of Davey-Stewartson equation by trial equation method and ansatz approach
• A new integral transform operator for solving the heat-diffusion problem
• Solving the \((3+1)\)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm
• Trial equation method based on symmetry and applications to nonlinear equations arising in mathematical physics
• Exponential function rational expansion method for nonlinear differential-difference equations
• Canonical-like transformation method and exact solutions to a class of diffusion equations
• A transformed rational function method and exact solutions to the \(3+1\) dimensional Jimbo-Miwa equation
• Applications of complete discrimination system for polynomial for classifications of traveling wave solutions to nonlinear differential equations
• Exact solutions to nonlinear Schrödinger equation with variable coefficients
• Exact solutions of some nonlinear systems of partial differential equations by using the first integral method
• Noninstantaneous impulsive inequalities via conformable fractional calculus
• Solitary-wave solutions to a dual equation of the Kaup-Boussinesq system
• Real finite-gap regular solutions of the Kaup-Boussinesq equation
• Advances in mathematical inequalities and applications
• The renormalization method based on the Taylor expansion and applications for asymptotic analysis
• The Nehari manifold for a boundary value problem involving Riemann-Liouville fractional derivative
• The construction of solutions to Zakharov-Kuznetsov equation with fractional power nonlinear terms
• Exact solutions and asymptotic solutions of one-dimensional domain walls in nonlinearly coupled system
• Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations
• Exact traveling and non-traveling wave solutions of the time fractional reaction-diffusion equation
• Generalized system of trial equation methods and their applications to biological systems
• Trial equation method for solving the generalized Fisher equation with variable coefficients
• Asymptotic soliton train solutions of Kaup --- Boussinesq equations
• Classification of All Single Travelling Wave Solutions to Calogero–Degasperis–Focas Equation
• Solution of ODEu″ + p(u)(u′)²+q(u) = 0 and Applications to Classifications of All Single Travelling Wave Solutions to Some Nonlinear Mathematical Physics Equations
• On exact traveling-wave solutions for local fractional Korteweg-de Vries equation
• Proliferation scheme for Kaup-Boussinesq system
• Exact solutions to fractional Drinfel'd-Sokolov-Wilson equations

This page was built for publication: Exact dynamical behavior for a dual Kaup-Boussinesq system by symmetry reduction and coupled trial equations method