Soliton and periodic solutions for time-dependent coefficient non-linear equation

Abstract

In this article, we establish exact solutions for the generalized (3+1)-dimensional variable coefficient Kadomtsev–Petviashvili (GVCKP) equation. Using solitary wave ansatz in terms of functions and the modified sine–cosine method, we find exact analytical bright soliton solutions and exact periodic solutions for the considered model. The physical parameters in the soliton solutions are obtained as function of the dependent model coefficients. The effectiveness and reliability of the method are shown by its application to the GVCKP equation.

Keywords:

• The modified sine–cosine method; the ansatz method
• the generalized (3+1)-dimensional variable coefficient Kadomtsev Petviashvili

Notes

No potential conflict of interest was reported by the author.