Application of group methods in solving wave equations

DOI10.1007/978-981-16-6890-6_65zbMath1498.35020OpenAlexW4225356235MaRDI QIDQ2080020

Jervin Zen Lobo

Publication date: 7 October 2022

Full work available at URL: https://doi.org/10.1007/978-981-16-6890-6_65

zbMATH Keywords

wave equationLie groupsymmetriesdetermining equations

Mathematics Subject Classification ID

Wave equation (35L05) Symmetries, invariants, etc. in context of PDEs (35B06)

Uses Software

• LieSymm

Cites Work

• Lie symmetry analysis of Kudryashov-Sinelshchikov equation
• Lie group analysis of a forced KdV equation
• Lie symmetry analysis and exact explicit solutions for general Burgers' equation
• Lie symmetries of inviscid Burgers' equation
• Painlevé expansions for nonintegrable evolution equations
• Nonlinear Green's functions for wave equation with quadratic and hyperbolic potentials
• Approximate symmetry analysis of a class of perturbed nonlinear reaction-diffusion equations
• Lie symmetry analysis and invariant solutions of a nonlinear Fokker-Planck equation describing cell population growth
• Lie symmetries of differential equations: classical results and recent contributions
• Group classification and exact solutions of nonlinear wave equations
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• On the definition of an admitted Lie group for stochastic differential equations with multi-Brownian motion
• Group classification of nonlinear wave equations
• Symmetries and differential equations
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