The bi-Hamiltonian structure and new solutions of KdV6 equation
Exactly Solvable and Integrable Systems
2009-11-13 v1
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 -type bi-Hamiltonian formalism of KdV6 equation (RD-KdVESCS) is constructed by taking as evolution parameter. Some new solutions of KdV6 equation, such as soliton, positon and negaton solution, are presented.
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Cite
@article{arxiv.0810.1986,
title = {The bi-Hamiltonian structure and new solutions of KdV6 equation},
author = {Yuqin Yao and Yunbo Zeng},
journal= {arXiv preprint arXiv:0810.1986},
year = {2009}
}
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13 pages