Solution of KdV and Boussinesq using Darboux Transformation

Yıl 2018, Cilt: 3 Sayı: 3, 16 - 27, 31.12.2018

Mohamed R. Ali

Öz

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.

Anahtar Kelimeler

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

Kaynakça

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