Exact solutions of a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili equation using Lie symmetry analysis. (English) Zbl 1195.35265
Summary: Lie group analysis is employed to derive some exact solutions of a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili equation which describes the dynamics of solitons and nonlinear waves in plasmas and superfluids.
MSC:
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
| 37K10 | Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) |
| 37K30 | Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures |
| 22E70 | Applications of Lie groups to the sciences; explicit representations |
Keywords:
Lie group theory; Kadomtsev-Petviashvili equation; Lie point symmetries; group invariant solutionsReferences:
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