Bright and dark soliton solutions for the variable coefficient generalizations of the KP equation

Subject Applied Mathematics
Title Bright and dark soliton solutions for the variable coefficient generalizations of the KP equation
Author(s) Ahmet Bekir, Özkan Güner, Adem Cengiz Çevikel
Keywords Solitons, bright and dark soliton, variable-coefficient generalizations of the KP (GVCKP) equation
Abstract In this paper, by using a solitary wave ansatz in the form of sech^{p} and tanh^{p} functions, we obtain the exact bright (non-topological) and dark (topological) soliton solutions for the variable coefficient generalizations of the KP (GVCKP) equation, respectively. Note that, it is always useful and desirable to construct exact analytical solutions especially soliton-type envelope for the understanding of most nonlinear physical phenomena. The physical parameters in the soliton solutions are obtained as functions of the dependent coefficients.