Lie symmetries of a generalized Kuznetsov-Zabolotskaya-Khokhlov equation

DOI10.1016/j.jmaa.2014.10.020zbMath1322.37031arXiv1402.1941OpenAlexW1985810766MaRDI QIDQ465432

F. Güngör, Cihangir Özemir

Publication date: 31 October 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.1941

zbMATH Keywords

symmetryclassificationequivalence groupgeneralized dKP and KP equationsgeneralized Kuznetsov-Zabolotskaya-Khokhlov equations

Mathematics Subject Classification ID

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

Related Items (8)

Variable coefficient Davey-Stewartson system with a Kac-Moody-Virasoro symmetry algebra ⋮ Analysis of the symmetry group and exact solutions of the dispersionless KP equation in n + 1 dimensions ⋮ Symmetry reductions and exact solutions to the Sharma-Tasso-Olever equation ⋮ Lie symmetries reduction and spectral methods on the fractional two-dimensional heat equation ⋮ Instantaneous blow-up of classical solutions to the Cauchy problem for the Khokhlov-Zabolotskaya equation ⋮ Lie symmetry analysis and exact solutions of the Sawada--Kotera equation ⋮ Exact solutions via equivalence transformations of variable-coefficient fifth-order KdV equations ⋮ Lie symmetry analysis, optimal system and exact solutions for variable-coefficients \((2 + 1)\)-dimensional dissipative long-wave system

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