Isogroups and exact solutions for some Klein–Gordon and Liouville-type equations in n-dimensional Euclidean space

DOI10.1063/1.530995zbMath0843.35088OpenAlexW2070551944MaRDI QIDQ4873532

Lipika Bhattacharya, O. P. Bhutani

Publication date: 5 May 1996

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

Full work available at URL: https://doi.org/10.1063/1.530995

zbMATH Keywords

exact solutionsLiouville equationsnonlinear Klein-Gordon equationnonlinear ordinary differential equations

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40)

Related Items (3)

On certain exact solutions of a generalized KdV-Burgers type equation via isovector method. I ⋮ Applications of some recent techniques for the exact solutions of the small disturbance potential flow equation of nonequilibrium transonic gas dynamics ⋮ Advances in partial differential equations III. Dedicated to Prof. Om Prakash Bhutani

Cites Work

• On the isogroups of the semilinear hyperbolic equation \(u_{xt}=f(u)\) and its exact solutions for the case of the Liouville equation
• On the isogroups of the generalised diffusion equation
• Exact solutions for the nonlinear Klein–Gordon and Liouville equations in four-dimensional Euclidean space
• Lie symmetries and Painleve test for explicitly space- and time-dependent nonlinear wave equations
• Geometric Approach to Invariance Groups and Solution of Partial Differential Systems

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