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.

third-order nonlinear equation, optical solitons, traveling wave solutions, Riccati-Bernoulli sub-ODE method.

Received: November 4, 2022; Revised: November 30, 2022; Accepted: December 15, 2022; Published: December 22, 2022

How to cite this article: Salisu Ibrahim, Optical soliton solutions for the nonlinear third-order partial differential equation, Advances in Differential Equations and Control Processes 29 (2022), 127-138. http://dx.doi.org/10.17654/0974324322037

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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