ON THE METHOD OF SOLUTION OF THE DIFFERENTIAL-DELAY TODA EQUATION

Authors
VILLARROEL J ABLOWITZ MJ
Citation
J. Villarroel et Mj. Ablowitz, ON THE METHOD OF SOLUTION OF THE DIFFERENTIAL-DELAY TODA EQUATION, Physics letters. A, 180(6), 1993, pp. 413-418
Citations number
8
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
180
Issue
6
Year of publication
1993
Pages
413 - 418
Database
ISI
SICI code
0375-9601(1993)180:6<413:OTMOSO>2.0.ZU;2-R
Abstract
The method of solution of the Toda differential-delay equation, which is a reduction of the Toda equation in 2 + 1 dimensions, is described. An important feature of the solution process is to obtain and study a novel Riemann-Hilbert problem. The latter problem requires factorizat ion across an infinite number of strips with a suitable branching stru cture. Explicit soliton solutions are given.