New multiple-soliton (kink) solutions for the high-order Boussinesq–Burgers equation

DOI10.1080/17455030.2016.1158885zbMath1366.35014OpenAlexW2403453826MaRDI QIDQ5283124

Xiang Wu, Liang-bi Wang, Peng Guo

Publication date: 19 July 2017

Published in: Waves in Random and Complex Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17455030.2016.1158885

zbMATH Keywords

nonlinear evolution equationshomogeneous balance methodshallow water waves

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

Related Items (2)

Water-wave symbolic computation for the Earth, Enceladus and Titan: the higher-order Boussinesq-Burgers system, auto- and non-auto-Bäcklund transformations ⋮ Lie group analysis for a higher-order Boussinesq-Burgers system

Cites Work

• The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
• Lax pair, Bäcklund transformation and multi-soliton solutions for the Boussinesq-Burgers equations from shallow water waves
• On soliton solutions for Boussinesq-Burgers equations
• Darboux transformation and multi-soliton solutions of Boussinesq-Burgers equation
• Exp-function method for nonlinear wave equations
• An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
• New solitary wave solution of the combined KdV and mKdV equation
• A sine-cosine method for handling nonlinear wave equations
• Quasi-periodic solution of the \((2+1)\)-dimensional Boussinesq-Burgers soliton equation
• Periodic wave solutions to a coupled KdV equations with variable coefficients
• CTE method to the interaction solutions of Boussinesq-Burgers equations
• Exact traveling wave solutions of the Boussinesq-Burgers equation
• Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
• Soliton solutions of the generalized Klein-Gordon equation by using \(\left(\frac{G'}{G}\right)\)-expansion method
• Extended tanh-function method and its applications to nonlinear equations
• The relations among a special type of solutions in some (D+1)-dimensional nonlinear equations
• Soliton Solution of Generalized Chiral Nonlinear Schr\"odinger's Equation with Time-dependent Coefficients

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