Mohamed R. Ali
Abstract
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Two Darboux transformations of the Korteweg-de Vries (KdV) equation and Boussinesq equation are constructed throughthe Darboux method. Soliton solutions of these two equations are presented by applying the Darboux transformations.
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Two Darboux transformations of the Korteweg-de Vries (KdV) equation and Boussinesq equation are constructed throughthe Darboux method. Soliton solutions of these two equations are presented by applying the Darboux transformations.
Key concepts: Korteweg–de Vries equation, Darboux integral, Transformation (genetics), Soliton, Mathematics, Mathematical physics, Applied mathematics, Mathematical analysis