Symmetry reduction, exact solutions, and conservation laws of the ZK-BBM equation

DOI10.5402/2012/837241zbMath1247.35126OpenAlexW2145641159WikidataQ58692706 ScholiaQ58692706MaRDI QIDQ454496

Wen-Bin Zhang, Jiangbo Zhou, Sunil Kumar

Publication date: 8 October 2012

Published in: ISRN Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5402/2012/837241

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Soliton equations (35Q51) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (2)

Symmetry analysis of a generalized 2D Zakharov-Kuznetsov-Burgers equation with a variable dissipation ⋮ Lie symmetries and conservation laws for a generalized \((2+1)\)-dimensional nonlinear evolution equation

Cites Work

• The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
• Explicit solutions of the Bogoyavlensky-Konoplechenko equation
• Exact traveling wave solutions of the Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation
• The extended tanh method for new compact and noncompact solutions for the KP-BBM and the ZK-BBM equations
• Exact travelling wave solutions for two nonlinear evolution equations using the improved \(F\)-expansion method
• The extended \(F\)-expansion method and its application for a class of nonlinear evolution equations
• Compact and noncompact physical structures for the ZK-BBM equation
• Symmetry Reductions and Explicit Solutions for a Generalized Zakharov–Kuznetsov Equation

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