The unified group classification method for the generalized nonlinear wave equation and its partial difference schemes

DOI10.1016/J.AMC.2014.11.017zbMath1328.39010OpenAlexW2042227327MaRDI QIDQ902993

Hanze Liu

Publication date: 4 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.11.017

zbMATH Keywords

latticediscrete systempoint symmetryLie group classificationnonlinear second-order systempartial difference scheme

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12)

Related Items (5)

Existence and approximation of solutions to nonlocal boundary value problems for fractional differential inclusions ⋮ Generalized symmetry classifications, integrable properties and exact solutions to the general nonlinear diffusion equations ⋮ Stability of difference schemes for fractional equations ⋮ Symmetries, Symmetry Reductions and Exact Solutions to the Generalized Nonlinear Fractional Wave Equations ⋮ Approximations of stable manifolds in the vicinity of hyperbolic equilibrium points for fractional differential equations

Cites Work

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• Lie symmetry analysis and exact explicit solutions for general Burgers' equation
• Symmetry and integration methods for differential equations
• Discrete integrable systems. Proceedings of the international CIMPA school, Pondicherry, India, February 2--14, 2003
• Symmetry reductions and exact solutions to the systems of carbon nanotubes conveying fluid
• Symmetry reductions, dynamical behavior and exact explicit solutions to the Gordon types of equations
• The recursion operator method for generalized symmetries and Bäcklund transformations of the Burgers' equations
• Conservation Law Classification and Integrability of Generalized Nonlinear Second-Order Equation
• Moving Frames for Lie Pseudo–Groups
• Applications of Lie Groups to Difference Equations
• The Similarity Method for Difference Equations
• FINITE DIFFERENCE MODELS ENTIRELY INHERITING CONTINUOUS SYMMETRY OF ORIGINAL DIFFERENTIAL EQUATIONS
• Symmetries of discrete dynamical systems
• Complete symmetry classifications of the generalized nonlinear second-order equation and partial difference schemes

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