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Two Component Kaup - Kupershmidt Equation

Ziemowit Popowicz
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Abstract

The Kaup - Kupershmidt equation is generalized to the system of equations in the same manner as the Korteweg - de Vries equation is generalized to the Hirota - Satsuma equation. The Gelfan - Dikii - Lax and Hamiltonian formulatiohn for this generalization is given. The same construction is repeated for the constrainded Kadomtsev - Pietviashvili - Lax operator what leads to the forur component Kaup - Kupershmidt equation. The modified version of the two component Kaup -Kupershmidt equation is presented and analysed.

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Ziemowit Popowicz. 2004-08-18. Two Component Kaup - Kupershmidt Equation. https://doi.org/10.1088/0305-4470%2F37%2F42%2Fl03

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