Hybrid Solitary Waves and Shock Waves for Double-Layered Fluid Flow with Dispersion Triplet: Zaremaoghaddam and Gear-Grimshaw Models (mKdV Equation)
Abstract
The current paper recovers hybrid solitary waves for double–layered shallow water waves with the basic platform being the mKdV equation. The selected models are the Zaremaoghaddam equation and the Gear–Grimshaw equation. The integration algorithm adopted is the generalized exponential differential function method. This yields hybrid waves that emerge from solitary waves, shock waves and the singular solitary waves. The existence criteria for such waves are also presented as parameter constraints.
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