论文信息 - The Miura transformations of Kaup's equation and of Mikhailov's equation

The Miura transformations of Kaup's equation and of Mikhailov's equation

Abstract Two types of Miura transformations have been found. One relates Kaup's equation to Sawada-Kotera's equation and another relates the generalized Mikhailov equation to a model equation for a shallow water wave.

Alfred Ramani | Ryogo Hirota | R. Hirota | A. Ramani

[1] David J. Kaup,et al. On the Inverse Scattering Problem for Cubic Eigenvalue Problems of the Class ψxxx + 6Qψx + 6Rψ = λψ , 1980 .

[2] R. Hirota,et al. N-Soliton Solutions of Model Equations for Shallow Water Waves , 1976 .

[3] David J. Kaup,et al. A Bäcklund Transformation for a Higher Order Korteweg-De Vries Equation , 1977 .

[4] S. Sawada,et al. A Method for Finding N-Soliton Solutions of the KdV and KdV-Like Equation , 1974 .

[5] Robert M. Miura,et al. Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation , 1968 .