New soliton-like solutions to the potential Kadomtsev-Petviashvili (PKP) equation.
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Publication:1412532
DOI10.1016/S0096-3003(02)00588-XzbMath1045.35067OpenAlexW1997218015MaRDI QIDQ1412532
Publication date: 25 November 2003
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00588-x
Symbolic computation and algebraic computation (68W30) KdV equations (Korteweg-de Vries equations) (35Q53) Solutions to PDEs in closed form (35C05)
Related Items (12)
The decomposition method for solving (2+1)-dimensional Boussinesq equation and (3+1)-dimensional KP equation ⋮ Constructing lump solutions to a generalized Kadomtsev-Petviashvili-Boussinesq equation ⋮ Analysis of stability of traveling wave for Kadomtsev-Petviashvili equation ⋮ New solutions for the cubic Schrödinger equation and solitonic solutions ⋮ Application of Exp-function method to potential Kadomtsev-Petviashvili equation ⋮ High-order breather, M-kink lump and semi-rational solutions of potential Kadomtsev–Petviashvili equation ⋮ Numerical soliton-like solutions of the potential Kadomtsev-Petviashvili equation by the decomposition method ⋮ Painlevé test for the certain (2 + 1)-dimensional nonlinear evolution equations ⋮ Some exact solutions to the potential Kadomtsev-Petviashvili equation and to a system of shallow water wave equations ⋮ Explicit periodic solitary wave solutions for the \((2+1)\)-dimensional Boussinesq equation ⋮ Exact periodic kink-wave and degenerative soliton solutions for potential Kadomtsev-Petviashvili equation ⋮ Some group-invariant solutions of potential Kadomtsev-Petviashvili equation by using Lie symmetry approach
Cites Work
- Generalized tanh method with symbolic computation and generalized shallow water wave equation
- Bäcklund transformation and exact solutions for \((2+1)\)-dimensional Kolmogorov-Petrovsky-Piscounov equation
- New solitonic solutions to a \((3+1)\)-dimensional Jimbo-Miwa equation
- On the extended applications of homogeneous balance method
- New family of overturning soliton solutions for a typical breaking soliton equation
- New families of exact solutions to the integrable dispersive long wave equations in 2+1-dimensional spaces
- Exact solutions of the two-dimensional Burgers equation
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