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

Ibrahim, Salisu (2022) OPTICAL SOLITON SOLUTIONS FOR THE NONLINEAR THIRD-ORDER PARTIAL DIFFERENTIAL EQUATION. Advances in Differential Equations and Control Processes, 29. pp. 127-138.

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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.

Item Type: Article
Uncontrolled Keywords: third-order nonlinear equation, optical solitons, traveling wave solutions, Riccati-Bernoulli sub-ODE method.
Subjects: Q Science > QA Mathematics
Depositing User: ePrints deposit
Date Deposited: 12 Sep 2023 13:43
Last Modified: 12 Sep 2023 13:43
URI: http://eprints.tiu.edu.iq/id/eprint/1183

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