Work

Using Riccati Equation to Construct New Solitary Solutions of Nonlinear Difference Differential Equations

Year: 2022

Type: article

Abstract: In this paper, we use Riccati equation to construct new solitary wave solutions of the nonlinear evolution equations (NLEEs). Through the new function transformation, the Riccati equation is solved, and many new solitary wave solutions are obtained. Then it is substituted into the (2 + 1)-dimensional BLMP equation and (2 + 1)-dimensional KDV equation as an auxiliary equation. Many types of solitary wave solutions are obtained by choosing different coefficient p1 and q1 in the Riccati equation, and some of them have not been found in other documents. These solutions that we obtained in this paper will be helpful to understand the physics of the NLEEs.

Source: American Journal of Computational Mathematics

DOI: 10.4236/ajcm.2022.122016

Authors: Xinxiang Liu, Kaiwen Cui, Guojiang Wu

Institutions: Beijing Normal University, Chinese Academy of Sciences, Hefei Institutes of Physical Science, Institute of Plasma Physics

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4285290551

FWCI: 0.081

Cites: 20

Cited by: 2

Related to: 10