Solution of KdV and Boussinesq using Darboux Transformation

Abstract

Two Darboux transformations of the Korteweg-de Vries (KdV) equation and Boussinesq equation are constructed through
the Darboux method. Soliton solutions of these two equations are presented by applying the Darboux transformations.

Keywords

• Darboux transformation,multisoliton solution,spectral problem,generalized Korteweg-de Vries equations

Kaynakça

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