Searching for Analytical Solutions of the (2+1)-Dimensional KP Equation by Two Different Systematic Methods-Reference-Cited by-同舟云学术

Searching for Analytical Solutions of the (2+1)-Dimensional KP Equation by Two Different Systematic Methods

Published:2019-08-20 Issue: Volume:2019 Page:1-11
ISSN:1076-2787
Container-title:Complexity
language:en
Short-container-title:Complexity

Author:

Gu Yongyi¹^ORCID,Meng Fanning²^ORCID

Affiliation:

1. School of Statistics and Mathematics, Guangdong, University of Finance and Economics, Guangzhou, 510320, China

2. School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China

Abstract

In this paper, we derive analytical solutions of the (2+1)-dimensional Kadomtsev-Petviashvili (KP) equation by two different systematic methods. Using the exp⁡(-ψ(z))-expansion method, exact solutions of the mentioned equation including hyperbolic, exponential, trigonometric, and rational function solutions have been obtained. Based on the work of Yuan et al., we proposed the extended complex method to seek exact solutions of the (2+1)-dimensional KP equation. The results demonstrate that the applied methods are efficient and direct methods to solve the complex nonlinear systems.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

Link

http://downloads.hindawi.com/journals/complexity/2019/9314693.pdf

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1. Bifurcation and Quasiperiodic Behaviors of Ion Acoustic Waves in Magnetoplasmas with Nonthermal Electrons Featuring Tsallis Distribution

2. NEW SOLITONS AND PERIODIC SOLUTIONS FOR THEKADOMTSEV-PETVIASHVILI EQUATION

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