A new hyperbolic auxiliary function method and exact solutions of the mBBM equation

DOI10.1016/J.CNSNS.2009.03.021zbMath1221.35347OpenAlexW2022074132MaRDI QIDQ718092

Olawanle P. Layeni, Ade P. Akinola

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.03.021

zbMATH Keywords

traveling wave solutionmBBM equationhyperbolic auxiliary function method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07)

Related Items (4)

Exact solutions of the modified Benjamin-Bona-Mahoney (mBBM) equation by using the first integral method ⋮ The bifurcation and exact travelling wave solutions for the modified Benjamin-Bona-Mahoney (mBBM) equation ⋮ Solitary and Jacobi elliptic wave solutions of the generalized Benjamin-Bona-Mahony equation ⋮ The first integral method for modified Benjamin-Bona-Mahony equation

Cites Work

• Elliptic solutions to a generalized BBM equation
• A new sine-Gordon equation expansion algorithm to investigate some special nonlinear differential equations
• Nonlinear variants of the BBM equation with compact and noncompact physical structures
• New travelling wave solutions to some nonlinear equations via a combined method
• Exact solutions for the high-order dispersive cubic-quintic nonlinear Schrödinger equation by the extended hyperbolic auxiliary equation method
• Travelling Wave Solutions for Konopelchenko–Dubrovsky Equation Using an Extended sinh-Gordon Equation Expansion Method
• On the solitary wave solutions for nonlinear Euler equations
• Model equations for long waves in nonlinear dispersive systems

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