CUED Publications database

Rogue waves, bright–dark solitons and traveling wave solutions of the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation

Qin, CY and Tian, SF and Wang, XB and Zhang, TT and Li, J (2018) Rogue waves, bright–dark solitons and traveling wave solutions of the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation. Computers and Mathematics with Applications, 75. pp. 4221-4231. ISSN 0898-1221

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Abstract

In this paper, a (3+1)-dimensional generalized Kadomtsev–Petviashvili (gKP) equation is investigated, which describes the dynamics of nonlinear waves in plasma physics and fluid dynamics. By employing the extended homoclinic test method, we construct a new family of two wave solutions, rational breather wave and rogue wave solutions of the equation. Moreover, by virtue of some ansatz functions and the Riccati equation method, its analytical bright soliton, dark soliton and traveling wave solutions are derived. Finally, we obtain its exact power series solution with the convergence analysis. In order to further understand the dynamics, we provide some graphical analysis of these solutions.

Item Type: Article
Subjects: UNSPECIFIED
Divisions: Div B > Photonics
Depositing User: Cron Job
Date Deposited: 10 Jul 2018 01:37
Last Modified: 10 Apr 2021 22:21
DOI: 10.1016/j.camwa.2018.03.024