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

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  • Kırlı, Emre
  • Mersin, Mehmet Ali

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.

Suggested Citation

  • Kırlı, Emre & Mersin, Mehmet Ali, 2026. "Investigation of solitary wave solutions of the RLW and MRLW equations by optimal collocation method with RK4 technique," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 249(C), pages 453-471.
    • Handle: RePEc:eee:matcom:v:249:y:2026:i:c:p:453-471
    DOI: 10.1016/j.matcom.2026.05.028
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