OPTICAL SOLITON SOLUTIONS FOR THE NONLINEAR THIRD-ORDER PARTIAL DIFFERENTIAL EQUATION

被引：4
|
作者：
Ibrahim, Salisu [1 ]
机构：
[1] Tishk Int Univ, Math Educ, Erbil, Kurdistan Regio, Iraq
来源：
ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES | 2022年 / 29卷
关键词：
third-order nonlinear equation; optical solitons; traveling wave solutions; Riccati-Bernoulli sub-ODE method; CONSERVATION-LAWS;
D O I：
10.17654/0974324322037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the Riccati-Bernoulli (RB) sub-ODE method is used to find the solitary wave solutions for a third-order nonlinear partial differential equation (NLPDE). The traveling wave transformation along with RB sub-ODE equation is used to convert the third-order NLPDE to the set of algebraic equations. Solving the set of algebraic equations generates the analytical solution of the third-order NLPDE. The RB sub-ODE method is a powerful and simple mathematical tool for solving complex NLPDE. The solitary wave solutions obtained play a vital role in mathematical physics.
引用
收藏
页码：127 / 138
页数：12
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