A note on the variational approach to the Benjamin–Bona–Mahony equation using He's semi-inverse method

DOI10.1080/00207160802464571zbMath1197.65159OpenAlexW2135286141MaRDI QIDQ5747717

Zhao-Ling Tao

Publication date: 14 September 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160802464571

zbMATH Keywords

variational principleRitz methodBenjamin-Bona-Mahony equationtravelling wave solutionsolitary solutionHe's semi-inverse method

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (1)

Asymptotic methods for solitary solutions and compactons

Cites Work

• Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method
• Application of He's semi-inverse method to the nonlinear Schrödinger equation
• Variational approach to solitary wave solution of the generalized Zakharov equation
• Exp-function method for nonlinear wave equations
• The extended tanh method for new compact and noncompact solutions for the KP-BBM and the ZK-BBM equations
• Variational principles for some nonlinear partial differential equations with variable coefficients
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

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