A novel Lie group classification method for generalized cylindrical KdV type of equation: exact solutions and conservation laws

DOI10.1007/S00021-019-0460-3zbMath1428.37068OpenAlexW2976642150WikidataQ114852561 ScholiaQ114852561MaRDI QIDQ2007768

Hanze Liu, Li-jun Zhang, Xiang-Peng Xin, Cheng-Lin Bai

Publication date: 22 November 2019

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-019-0460-3

zbMATH Keywords

symmetryexact solutionconservation lawcompatibility conditioncylindrical KdV equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (3)

Quasi-periodic, chaotic and travelling wave structures of modified Gardner equation ⋮ Equivalent transformations and exact solutions to the generalized cylindrical KdV type of equation ⋮ Exact solutions and dynamic properties of Ito-type coupled nonlinear wave equations

Cites Work

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• SYMMETRY AND CONSERVATION LAW CLASSIFICATION AND EXACT SOLUTIONS TO THE GENERALIZED KdV TYPES OF EQUATIONS

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