ORIGINAL RESEARCH article
Front. Appl. Math. Stat.
Sec. Numerical Analysis and Scientific Computation
Volume 11 - 2025 | doi: 10.3389/fams.2025.1568834
NEW ANALYTICAL WAVE SOLUTIONS OF FRACTIONAL ORDER DMBBM EQUATION
Provisionally accepted
- King Mongkut's University of Technology Thonburi, Bangkok, Thailand
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In this article, 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 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 singular wave, singular kink wave, and periodic wave are the representations of the solution graphs.
Keywords: Dispersive modified Benjamin-Bona-Mahony (DMBBM) Equation, Bateman-Burgers equation, Exact solution, nonlinear partial differential equation, Travelling Wave Analysis Method, Riccati sub-equation
Received: 30 Jan 2025; Accepted: 12 May 2025.
Copyright: © 2025 Chinviriyasit and Sribuaiam. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
* Correspondence: Settapat Chinviriyasit, King Mongkut's University of Technology Thonburi, Bangkok, Thailand
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