M. B. Almatrafi, Abdulghani Alharbi*
CMES-Computer Modeling in Engineering & Sciences, Vol.137, No.1, pp. 827-841, 2023, DOI:10.32604/cmes.2023.027344
Abstract The extraction of traveling wave solutions for nonlinear evolution equations is a challenge in various mathematics,
physics, and engineering disciplines. This article intends to analyze several traveling wave solutions for the modified
regularized long-wave (MRLW) equation using several approaches, namely, the generalized algebraic method, the
Jacobian elliptic functions technique, and the improved Q-expansion strategy. We successfully obtain analytical
solutions consisting of rational, trigonometric, and hyperbolic structures. The adaptive moving mesh technique
is applied to approximate the numerical solution of the proposed equation. The adaptive moving mesh method
evenly distributes the points on the high error areas. This method perfectly and… More >
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