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M. Ito (1980)
An Extension of Nonlinear Evolution Equations of the KdV Type to Higher OrdersJ. Phys. Soc. Jpn., 49
A. Nakamura (1980)
Bäcklund Transformation of the Cylindrical KdV EquationJ. Phys. Soc. Jpn, 49
J. Satsuma, D. J. Kaup (1977)
A Bäcklund Transformation for a Higher Order Korteweg-de Vries EquationJ. Phys Soc. Jpn., 43
The Bäcklund transformation (BT) for a fifth order KdV equation is presented in the bilinear form. Furthermore, a nonlinear superposition formula related to the BT obtained above is proved rigorously. By the way, a nonlinear superposition formula of a modified fifth order KdV equation is also given.
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Jul 13, 2005
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