THERMAL SCIENCE
International Scientific Journal
INVESTIGATING ANALYTICAL SOLUTIONS FOR (2+1)-DIMENSIONAL M-TRUNCATED BURGERS MODEL
ABSTRACT
In this study, we employed the M-truncated fractional singular manifold method to analytically address the (2+1)-dimensional M-truncated fractional Burgers equation. This approach involves reformulating the original fractional differential equation into a more tractable form through the introduction of a singular manifold. This transformation simplifies the problem and often leads to analytical solutions. We derive a general solution expressed in terms of arbitrary functions, which enables us to accommodate variations in system parameters or initial conditions. This results in a versatile expression that captures a broad spectrum of possible solutions, providing a framework for analyzing the dynamics of kink waves in the relevant fractional differential models. We also construct multiple kink wave solutions, offering analytical representations of kink wave behavior within these models. Notably, our findings revert to well-established results when the fractional order is set to one, thereby affirming the consistency of this method with existing theories and validating our approach.
KEYWORDS
PAPER SUBMITTED: 2024-06-20
PAPER REVISED: 2024-09-05
PAPER ACCEPTED: 2024-09-27
PUBLISHED ONLINE: 2025-02-22
THERMAL SCIENCE YEAR
2025, VOLUME
29, ISSUE
Issue 1, PAGES [337 - 345]
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