A Remarkable Transformation in Nonlinear Lattice Problem
暂无分享,去创建一个
An explicit transformation relating solutions of an exponential lattice equation and a nonlinear self-dual network equation is presented. Using the transformation, fundamental equations of inverse scattering method for an exponential lattice is obtained. This transformation is considered to be a discrete version of Miura transformation.
[1] Morikazu Toda,et al. Studies of a non-linear lattice , 1975 .
[2] H. Flaschka. On the Toda Lattice. II Inverse-Scattering Solution , 1974 .
[3] R. Hirota. Exact N-Soliton Solution of Nonlinear Lumped Self-Dual Network Equations , 1973 .
[4] Robert M. Miura,et al. Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation , 1968 .