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

Salisu Ibrahim

doi:10.17654/0974324322037

Salisu Ibrahim Mathematics Education, Tishk International University-Erbil, Kurdistan Region, Iraq

Article ID: 2566

DOI: https://doi.org/10.17654/0974324322037

Keywords: third-order nonlinear equation; optical solitons; traveling wave solutions; Riccati-Bernoulli sub-ODE method

Abstract

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.

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