AN EXTENSION OF THE DIRECT METHOD VIA AN APPLICATION

DOI10.1080/16073606.2001.9639778zbMath0990.35104OpenAlexW2040862692MaRDI QIDQ2729662

Chang-Zheng Qu, F. M. Mahomed

Publication date: 17 August 2002

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.2001.9639778

zbMATH Keywords

symmetrysimilarity reductionsansatz based method

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (1)

Direct similarity reductions and new exact solutions of the short pulse equation

Cites Work

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• Group properties of u//(tt)=[f(u)u//x//x]
• Symmetry reductions and exact solutions of a class of nonlinear heat equations
• Nonlinear partial differential equations in engineering. Vol. II
• Non-classical symmetry reduction: example of the Boussinesq equation
• New similarity reductions of the Boussinesq equation
• Nonclassical symmetry solutions and the methods of Bluman–Cole and Clarkson–Kruskal
• Nonclassical symmetry reductions of the linear diffusion equation with a nonlinear source
• Group Classification and Generalized Conditional Symmetry Reduction of the Nonlinear Diffusion–Convection Equation with a Nonlinear Source
• Nonlinear interaction of traveling waves of nonintegrable equations
• New exact solutions of the Boussinesq equation
• Symmetries and differential equations

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