Dynamics of rational solutions in a new generalized Kadomtsev–Petviashvili equation

Author:

Hosseini K.1,Aligoli M.2,Mirzazadeh M.3,Eslami M.4,Gómez-Aguilar J. F.5

Affiliation:

1. Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran

2. Young Researchers and Elite Club, Rasht Branch, Islamic Azad University, Rasht, Iran

3. Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, P.C. 44891-63157 Rudsar-Vajargah, Iran

4. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

5. CONACyT-Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Col. Palmira, C.P. 62490, Cuernavaca, Morelos, Mexico

Abstract

Rational solutions of nonlinear evolution (NLE) equations have been the subject of numerous research papers. In this paper, a new generalized Kadomtsev–Petviashvili (KP) equation with diverse applications is investigated analytically. Multiple solitons, breather and rogue waves, and complexitons as special cases of rational solutions to the new generalized KP equation are formally extracted with the help of symbolic computations. Some two- and three-dimensional figures are considered to show the dynamics of rational solutions in the new generalized KP equation.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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