The bi-Hamiltonian structure and new solutions of KdV6 equation
نویسندگان
چکیده
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 (RDKdVESCS) is constructed by taking x as evolution parameter. Some new solutions of KdV6 equation, such as soliton, positon and negaton solution, are presented. Mathematics Subject Classifications (2000): 35Q53, 37K35.
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