论文信息 - The two-component Kaup–Kupershmidt equation

The two-component Kaup–Kupershmidt equation

The Kaup–Kupershmidt equation is generalized to a system of equations in the same manner as the Korteweg–de Vries equation is generalized to the Hirota–Satsuma equation. The Gelfand–Dikii–Lax and Hamiltonian formulation for this generalization is given. The same construction is repeated for the constrained Kadomtsev–Pietviashvili–Lax operator which leads to the four-component Kaup–Kupershmidt equation. The modified version of the two-component Kaup–Kupershmidt equation is presented and analysed.

Z. Popowicz

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