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New doubly periodic and multiple soliton solutions of the generalized (3+1)-dimensional Kadomtsev–Petviashvilli equation with variable coefficients
- Source :
- Chaos, Solitons & Fractals. 30:217-226
- Publication Year :
- 2006
- Publisher :
- Elsevier BV, 2006.
-
Abstract
- A generalized variable-coefficient algebraic method is proposed to construct several new families of exact solutions of physical interest for the (3 + 1)-dimensional Kadomtsev–Petviashvilli (KP) equation with variable coefficients. Among them, the Jacobi elliptic periodic solutions exactly degenerate to the soliton solutions at a certain limit condition. Compared with most existing tanh method, the extended tanh method, the Jacobi elliptic function method or the algebraic method, the proposed method gives new and more general solutions.
- Subjects :
- General Mathematics
Applied Mathematics
Degenerate energy levels
Mathematical analysis
Hyperbolic function
One-dimensional space
Elliptic function
General Physics and Astronomy
Statistical and Nonlinear Physics
Jacobi elliptic functions
Nonlinear Sciences::Exactly Solvable and Integrable Systems
Soliton
Limit (mathematics)
Nonlinear Sciences::Pattern Formation and Solitons
Variable (mathematics)
Mathematics
Subjects
Details
- ISSN :
- 09600779
- Volume :
- 30
- Database :
- OpenAIRE
- Journal :
- Chaos, Solitons & Fractals
- Accession number :
- edsair.doi...........a5a00a651f63bbb59485404381a76f11