Isogroups and exact solutions for some Klein–Gordon and Liouville-type equations in n-dimensional Euclidean space
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Publication:4873532
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
exact solutionsLiouville equationsnonlinear Klein-Gordon equationnonlinear ordinary differential equations
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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