Symmetry reductions, exact solutions, and conservation laws of the generalized Zakharov equations

DOI10.1063/1.4931962zbMath1329.35028OpenAlexW2174295941MaRDI QIDQ3450529

Eerdun Buhe, George W. Bluman

Publication date: 6 November 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4931962

zbMATH Keywords

Bessel functionsgeneralized hypergeometric functionsWhittaker functionsAiry functionsplasma wavessubalgebras of symmetries

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Traveling wave solutions (35C07) Symmetries, invariants, etc. in context of PDEs (35B06) Initial value problems for systems of nonlinear higher-order PDEs (35G55)

Related Items (11)

Approximation to the global solution of generalized Zakharov equations in \(\mathbb{R}^2\) ⋮ A model of solitary waves in a nonlinear elastic circular rod: abundant different type exact solutions and conservation laws ⋮ The investigation of soliton solutions and conservation laws to the coupled generalized Schrödinger–Boussinesq system ⋮ Single and combined optical solitons, and conservation laws in (2+1)-dimensions with Kundu-Mukherjee-Naskar equation ⋮ Conservation laws, soliton-like and stability analysis for the time fractional dispersive long-wave equation ⋮ Conservation laws, symmetry reductions, and exact solutions of some Keller-Segel models ⋮ Symmetries, solutions and conservation laws for the \((2+1)\) filtration-absorption model ⋮ Dynamics of solitons to the coupled sine-Gordon equation in nonlinear optics ⋮ On invariant analysis of some time fractional nonlinear systems of partial differential equations. I ⋮ Some approaches to the calculation of conservation laws for a telegraph system and their comparisons ⋮ Symmetry analysis, explicit solutions, and conservation laws of a sixth-order nonlinear Ramani equation

Uses Software

• GeM

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