The bi-Hamiltonian structure and new solutions of KdV6 equation - Nonlinear Sciences > Exactly Solvable and Integrable SystemsReport as inadecuate




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Abstract: We show that the KdV6 equation recently studied in 1,2 is equivalent to theRosochatius deformation of KdV equation with self-consistent sourcesRD-KdVESCS recently presented in 9. The $t$-type bi-Hamiltonian formalismof KdV6 equation RD-KdVESCS is constructed by taking $x$ as evolutionparameter. Some new solutions of KdV6 equation, such as soliton, positon andnegaton solution, are presented.



Author: Yuqin Yao, Yunbo Zeng

Source: https://arxiv.org/







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