TY - JOUR
TI - Investigating analytical solutions for (2+1)-dimensional M-truncated burgers model
AU - Al-Malki Mushrifah A.s
AU - Abdalrhim Ehssan M.a
AU - Mohamed Mona A. A
AU - Areshi Mounirah
AU - Mubaraki Ali M
AU - Abdel-Khalek Sayed
JN - Thermal Science
PY - 2025
VL - 29
IS - 1
SP - 337
EP - 345
PT - Article
AB - 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.