The bi-Hamiltonian structure and new solutions of KdV6 equation

Details The bi-Hamiltonian structure and new solutions of KdV6 equation The bi-Hamiltonian structure and new solutions of KdV6 equation

2008-10-11

arxiv.org/abs/0810.1986v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

13 pages

Scientific paper

10.1007/s11005-008-0281-4

We show that the KdV6 equation recently studied in [1,2] is equivalent to the Rosochatius deformation of KdV equation with self-consistent sources (RD-KdVESCS) recently presented in [9]. The $t$-type bi-Hamiltonian formalism of KdV6 equation (RD-KdVESCS) is constructed by taking $x$ as evolution parameter. Some new solutions of KdV6 equation, such as soliton, positon and negaton solution, are presented.

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