Concepedia

Bäcklund transformation solutions of the Toda lattice equation

Hsing-Hen Chen, Chuan-Sheng Liu

Journal of Mathematical Physics · 1975 · 28 citations · 11 references

DOI

Concepts

Abstract

Bäcklund transformation, superposition formula, and multisoliton solutions are constructed for the Toda lattice difference–differential equation with some discussion of its generalizations.

References

11

Method for Solving the Korteweg-deVries Equation

Clifford S. Gardner, J. M. Greene, Martin D. Kruskal et al. · Physical Review Letters · 1967 · 4.6K citations

, , +17

Nonlinear-Evolution Equations of Physical Significance

Mark J. Ablowitz, D. J. Kaup, Alan C. Newell et al. · Physical Review Letters · 1973 · 1.1K citations

, , +17

Analytical Descriptions of Ultrashort Optical Pulse Propagation in a Resonant Medium

G. L. Lamb · Reviews of Modern Physics · 1971 · 950 citations

, , +16

Vibration of a Chain with Nonlinear Interaction

Morikazu Toda · Journal of the Physical Society of Japan · 1967 · 846 citations

, , +16

On the Toda Lattice. II: Inverse-Scattering Solution

H. Flaschka · Progress of Theoretical Physics · 1974 · 604 citations · Full text

, , +16