Invariant solutions of certain nonlinear evolution type equations with small parameters

DOI10.1016/j.amc.2006.05.006zbMath1103.35045OpenAlexW2169067547MaRDI QIDQ858756

Fiazud Din Zaman, Ashfaque H. Bokhari, Abdul Hamid Kara

Publication date: 11 January 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.006

zbMATH Keywords

Fisher equationsymmetry propertiesKdVmodified KdV equationsmethod of invariantsperturbations of nonlinear evolution equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Reaction-diffusion equations (35K57) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (3)

Invariant solutions for a class of perturbed nonlinear wave equations ⋮ Approximate symmetries analysis and conservation laws corresponding to perturbed Korteweg-de Vries equation ⋮ Search of exact invariants for \(\mathcal{PT}\) and non-\(\mathcal{PT}\)-symmetric complex Hamiltonian systems

Cites Work

• Unnamed Item
• A method for finding the invariants and exact solutions of coupled non-linear differential equations with applications to dynamical systems
• Potential symmetry generators and associated conservation laws of perturbed nonlinear equations
• Approximate symmetries and conservation laws with applications
• Nonlinear evolution-type equations and their exact solutions using inverse variational methods
• Analytic solutions of the Fisher equation

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