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arXiv · 0810.1986

The bi-Hamiltonian structure and new solutions of KdV6 equation

Yuqin Yao·Yunbo Zeng
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Abstract

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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Yuqin Yao, Yunbo Zeng. 2008-10-11. The bi-Hamiltonian structure and new solutions of KdV6 equation. https://doi.org/10.1007/s11005-008-0281-4

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