Conservation Law Classification and Integrability of Generalized Nonlinear Second-Order Equation

DOI10.1088/0253-6102/56/6/02zbMath1247.35068OpenAlexW1518849282MaRDI QIDQ2913469

Lei Liu, Hanze Liu, Ji-Bin Li

Publication date: 26 September 2012

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/56/6/02

zbMATH Keywords

symmetryintegrabilityconservation lawmultiplierKlein-Gordon wave equationdirect construction method

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Second-order nonlinear hyperbolic equations (35L70) Hyperbolic conservation laws (35L65) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

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Complete Group Classification and Exact Solutions to the Generalized Short Pulse Equation ⋮ Symmetry reductions and exact solutions to the Sharma-Tasso-Olever equation ⋮ The unified group classification method for the generalized nonlinear wave equation and its partial difference schemes ⋮ Lie symmetry analysis and exact solutions of the Sawada--Kotera equation ⋮ 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

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