Two Component Kaup - Kupershmidt Equation
Exactly Solvable and Integrable Systems
2015-06-26 v2
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.
Cite
@article{arxiv.nlin/0408032,
title = {Two Component Kaup - Kupershmidt Equation},
author = {Ziemowit Popowicz},
journal= {arXiv preprint arXiv:nlin/0408032},
year = {2015}
}
Comments
6 pages