Two Component Kaup - Kupershmidt Equation

Details Two Component Kaup - Kupershmidt Equation Two Component Kaup - Kupershmidt Equation

2004-08-18

arxiv.org/abs/nlin/0408032v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

6 pages

Scientific paper

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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