Using Riccati Equation to Construct New Solitary Solutions of Nonlinear Difference Differential Equations
Using Riccati Equation to Construct New Solitary Solutions of Nonlinear Difference Differential Equations作者机构：Hefei Thomas School Hefei China The Second High School Attached to Beijing Normal University International Department Beijing China Institute of Plasma Physics Hefei Institutes of Physical Science Chinese Academy of Sciences Hefei China
出 版 物：《American Journal of Computational Mathematics》 (美国计算数学期刊（英文）)
年 卷 期：2022年第12卷第2期
页 面：256-266页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Nonlinear Evolution Equations Hyperbolic Function Riccati Equation Auxiliary Equation Solitary Wave Solutions
摘 要：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.
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