Investigation of solitary wave solutions of the RLW and MRLW equations by optimal collocation method with RK4 technique

Emre Kırlı and Mehmet Ali Mersin

Mathematics and Computers in Simulation (MATCOM), 2026, vol. 249, issue C, 453-471

Abstract: The Regularized Long Wave (RLW) and Modified Regularized Long Wave (MRLW) equations are fundamental mathematical models used to describe a wide range of non-linear dispersive wave phenomena. These equations play a vital role in modeling physical systems such as ion-acoustic waves in plasma physics, non-linear transverse waves in shallow water, wave packets in non-linear crystals, and the formation of undular bores.

Keywords: Optimal collocation method; Quintic B-spline; Fourth-order Runge–Kutta method; Regularized long wave equation; Modified regularized long wave equation (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:249:y:2026:i:c:p:453-471

DOI: 10.1016/j.matcom.2026.05.028

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