The recursion operator method for generalized symmetries and Bäcklund transformations of the Burgers' equations

DOI10.1007/S12190-012-0633-1zbMath1348.37111OpenAlexW1984164969MaRDI QIDQ2511351

Lei Liu, Hanze Liu, Ji-Bin Li

Publication date: 5 August 2014

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

Full work available at URL: https://doi.org/10.1007/s12190-012-0633-1

zbMATH Keywords

exact solutionconservation lawBurgers' equationBäcklund transformationgeneralized symmetryrecursion operator method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Symmetries of infinite-dimensional dissipative dynamical systems (37L20)

Related Items (5)

The unified group classification method for the generalized nonlinear wave equation and its partial difference schemes ⋮ Generalized symmetry classifications, integrable properties and exact solutions to the general nonlinear diffusion equations ⋮ Nonlocal symmetry analysis, explicit solutions and conservation laws for the fourth-order Burgers' equation ⋮ Complete Group Classifications and Symmetry Reductions of the Fractional Fifth-Order KdV Types of Equations ⋮ Painlevé test, generalized symmetries, Bäcklund transformations and exact solutions to the third-order Burgers' equations

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