New analytical wave solutions of fractional order DMBBM and Bateman-Burgers equations

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Publication Details

Author list: Sribua-Iam N.; Chinviriyasit S.

Publisher: Frontiers Media

Publication year: 2025

Journal acronym: Front. Appl. Math. Stat.

Volume number: 11

eISSN: 2297-4687

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-105008712305&doi=10.3389%2ffams.2025.1568834&partnerID=40&md5=2f38cef71136822c02de63a3edc27df3

Languages: English-Great Britain (EN-GB)

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Abstract

The purpose of this article is to explore a new method for solving one of the nonlinear partial differential equations (NPDE) which is difficult to solve. The dispersive modified Benjamin-Bona-Mahony (DMBBM) equation and the solutions of space-time fractional Bateman-Burgers equation is solved by a travelling wave analysis method as the Riccati sub-equation. The solutions of space-time fractional DMBBM equation and the solutions of space-time fractional Bateman-Burgers equation can be expressed in the forms of exponential functions, trigonometric functions, rational functions, and hyperbolic functions. The singular wave, singular kink wave, and periodic wave are the representations of the solution graphs. Copyright © 2025 Sribua-Iam and Chinviriyasit.

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