Soliton Solutions for (2+1) and (3+1)-Dimensional KadomtsevPetviashvili-Benjamin-Bona-Mahony Model Equations and their Applications

Kalim U. Tariq, Aly Seadawy


The Kadomtsev-Petviashvili-Benjamin-Bona-Mahony (KP-BBM) model equations as a water wave model, are governing
equations, for fluid flows, describes bidirectional propagating water wave surface. The soliton solutions for (2+1) and (3+1)-Dimensional Kadomtsev-Petviashvili-Benjamin-Bona-Mahony (KP-BBM) equations have been extracted.
The solitary wave ansatz method are adopted to approximate the solutions. The corresponding
integrability criteria, also known as constraint conditions, naturally emerge from the analysis
of the problem.

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