Abstract
In this chapter, we begin with some simple examples to clarify the variable conjugate to the auxiliary spectrum. Then, by the help of such variables, we apply the Hamilton-Jacobi theory to the nonlinear lattice, and further derive action variables together with angle variables canonically conjugate to each other.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
McLaughlin: J. Math. Phys. 16, 96, 1704 (1975)
H. Flaschka, D. W. McLaughlin: In Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications, ed. by R. M. Miura. Lecture Notes in Mathematics, Vol. 515 (Springer, Berlin, Heidelberg, New York 1976) p. 253
H. Flaschka, D. W. McLaughlin: Prog. Theor. Phys. 55, 438 (1976)
H. Flaschka: In [3.7] p. 441
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Toda, M. (1989). Application of the Hamilton-Jacobi Theory. In: Theory of Nonlinear Lattices. Springer Series in Solid-State Sciences, vol 20. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83219-2_5
Download citation
DOI: https://doi.org/10.1007/978-3-642-83219-2_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-18327-3
Online ISBN: 978-3-642-83219-2
eBook Packages: Springer Book Archive