Symmetry reductions and new functional separable solutions of nonlinear Klein–Gordon and telegraph type equations
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Publication:5212610
DOI10.1080/14029251.2020.1700633zbMath1436.81038OpenAlexW3003390691MaRDI QIDQ5212610
Andrei D. Polyanin, Alexei I. Zhurov
Publication date: 29 January 2020
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/14029251.2020.1700633
delay differential equationssymmetry reductionsnonlinear Klein-Gordon equationsnonlinear telegraph equationsfunctional separable solutionsgeneralized traveling wave solutions
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Nonlinear elliptic equations (35J60) Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Second-order nonlinear hyperbolic equations (35L70) Generalized solutions to partial differential equations (35D99)
Related Items (4)
A \((2+1)\)-dimensional variable-coefficients extension of the Date-Jimbo-Kashiwara-Miwa equation: Lie symmetry analysis, optimal system and exact solutions ⋮ Generalization of the algebraic method of group classification with application to nonlinear wave and elliptic equations ⋮ Construction of exact solutions to nonlinear PDEs with delay using solutions of simpler PDEs without delay ⋮ New exact solutions of nonlinear wave type PDEs with delay
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