PERIODIC-SOLUTIONS AND WHITHAM EQUATIONS FOR THE AB SYSTEM

Authors
KAMCHATNOV AM PAVLOV MV
Citation
Am. Kamchatnov et Mv. Pavlov, PERIODIC-SOLUTIONS AND WHITHAM EQUATIONS FOR THE AB SYSTEM, Journal of physics. A, mathematical and general, 28(11), 1995, pp. 3279-3288
Citations number
23
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
28
Issue
11
Year of publication
1995
Pages
3279 - 3288
Database
ISI
SICI code
0305-4470(1995)28:11<3279:PAWEFT>2.0.ZU;2-U
Abstract
Effective formulae for the single-phase periodic solution of the An sy stem are obtained. The solution depends on a complete set of four comp lex parameters (Riemann invariants). The derivation of Whitham equatio ns which describe a slow evolution of the modulated periodic solution is presented. The general theory is illustrated by application to the problem of soliton creation on the front of a sharp pulse.