SOLITON DYNAMICS FOR NEAR INTEGRABLE DIFFERENTIAL-DIFFERENCE EQUATIONS

Authors
HERMAN RL
Citation
Rl. Herman, SOLITON DYNAMICS FOR NEAR INTEGRABLE DIFFERENTIAL-DIFFERENCE EQUATIONS, Theoretical and mathematical physics, 99(2), 1994, pp. 611-616
Citations number
13
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
99
Issue
2
Year of publication
1994
Pages
611 - 616
Database
ISI
SICI code
0040-5779(1994)99:2<611:SDFNID>2.0.ZU;2-0
Abstract
In this talk, we consider both the spectral and the direct perturbatio n methods for studying perturbations of an integrable differential-dif ference equation, the Toda lattice. Both methods employ the formalism of inverse scattering to represent the corrections in terms of an appr opriate basis of squared eigenfunctions.