New exact solutions for the \((2+1)\)-dimensional Broer-Kaup-Kupershmidt equations

DOI10.1155/2010/652649zbMath1216.35125OpenAlexW1993067460WikidataQ58649893 ScholiaQ58649893MaRDI QIDQ624487

Jun Cao, Ming Song, Shaoyong Li

Publication date: 9 February 2011

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2010/652649

zbMATH Keywords

periodic solutionsblow-up solutionsbifurcation methodBroer-Kaup-Kuperschmidt equationskink-shaped solutions

Mathematics Subject Classification ID

Related Items (6)

Periodic wave solutions and their limits for the ZK-BBM equation ⋮ Some explicit expressions and interesting bifurcation phenomena for nonlinear waves in generalized Zakharov equations ⋮ Extension on bifurcations of traveling wave solutions for a two-component Fornberg-Whitham equation ⋮ New traveling wave solutions of the higher dimensional nonlinear partial differential equation by the Exp-function method ⋮ Traveling wave solutions for the generalized Zakharov equations ⋮ Periodic wave solutions and their limits for the generalized KP-BBM equation

Cites Work

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• Application of Exp-function method to Riccati equation and new exact solutions with three arbitrary functions of Broer-Kaup-Kupershmidt equations
• The modified extended Fan sub-equation method and its application to the \((2+1)\)-dimensional Broer-Kaup-Kupershmidt equation
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• Travelling wave solutions of nonlinear partial equations by using the first integral method
• Exact traveling wave solutions of the Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation
• New exact solutions for the classical Drinfel'd-Sokolov-Wilson equation
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• New exact travelling wave solutions of two nonlinear physical models
• The extended Fan's sub-equation method and its application to KdV-MKdV, BKK and variant Boussinesq equations
• A new extended Riccati equation rational expansion method and its application
• Solitary waves and their bifurcations of KdV like equation with higher order nonlinearity
• PEAKONS AND THEIR BIFURCATION IN A GENERALIZED CAMASSA–HOLM EQUATION
• Smooth and non-smooth traveling waves in a nonlinearly dispersive equation

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