Multiple-Soliton Solutions for Extended Shallow Water Wave Equations

Abdul-Majid Wazwaz


Four extended shallow water wave equations are introduced and studied for complete integrability. We show that the additional terms do not kill the integrability of the typical equations. The Hereman’s simplified method and the Cole-Hopf transformation method are used to show this goal. Multiple soliton solutions will be derived for each model. The analysis highlights the effects of the extension terms on the structures of the obtained solutions. KeyWords: Shallow Water Wave Equations; Complete Integrability; Multiple-Soliton Solutions

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