Travelling Wave Solutions to Fourth-Order Nonlinear Equation

In this paper, we study the soliton solutions of the fourth-order nonlinear partial differential equations (NPDE). The Riccati-Bernoulli (RB) sub-ODE method is applied to the fourth-order NPDE to investigate the exact and traveling wave solutions. We secure singular periodic wave solutions, kink-type soliton solution, dark soliton and singular soliton solution, which have unlimited application in mathematical physic, science and engineering. Some figures for the obtained solutions are demonstrated.

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Publication Details

Journal
Communications in Mathematics and Applications
Published
2024-11-30
DOI
https://doi.org/10.26713/cma.v15i3.2497
Primary Topic
Nonlinear Waves and Solitons
Type
article
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article

Travelling Wave Solutions to Fourth-Order Nonlinear Equation

Salisu Ibrahim
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Communications in Mathematics and Applications
Nonlinear Waves and Solitons
article

Travelling Wave Solutions to Fourth-Order Nonlinear Equation

Salisu Ibrahim
article en

Abstract

In this paper, we study the soliton solutions of the fourth-order nonlinear partial differential equations (NPDE). The Riccati-Bernoulli (RB) sub-ODE method is applied to the fourth-order NPDE to investigate the exact and traveling wave solutions. We secure singular periodic wave solutions, kink-type soliton solution, dark soliton and singular soliton solution, which have unlimited application in mathematical physic, science and engineering. Some figures for the obtained solutions are demonstrated.

Communications in Mathematics and ApplicationsVol. 15(3)
Tishk International University (IQ)
Openalex Percentile: Top 74%
Nonlinear Waves and Solitons
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Travelling Wave Solutions to Fourth-Order Nonlinear Equation — Salisu Ibrahim · Communications in Mathematics and Applications (2024) | TGRS Research Map | TGRS