| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6892404 | Computers & Mathematics with Applications | 2017 | 9 Pages |
Abstract
The aim of this paper is to obtain the exact solutions with the help of similarity transformations method for Kadomtsev-Petviashvili (KP) equation in (2+1)-dimension. As a consequence of the first reduction of the KP equation through similarity transformations method, it has been transformed into the Boussinesq equation. Repeated use of the method leads to an ordinary differential equation (ODE). Solutions of such ODEs and hence solutions of KP equation contain arbitrary function and constants. Appropriate choices of the function and constants explore the doubly solitons, multisolitons, parabolic and travelling wave nature to validate our solutions physically.
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Authors
Mukesh Kumar, Atul Kumar Tiwari, Raj Kumar,