THE PAINLEVE FORMULATIONS AND EXACT-SOLUTIONS OF THE NONLINEAR EVOLUTION-EQUATIONS FOR MODULATED GRAVITY-WAVE TRAINS

Authors
SHIVAMOGGI BK ROLLINS DK
Citation
Bk. Shivamoggi et Dk. Rollins, THE PAINLEVE FORMULATIONS AND EXACT-SOLUTIONS OF THE NONLINEAR EVOLUTION-EQUATIONS FOR MODULATED GRAVITY-WAVE TRAINS, Journal of mathematical physics, 35(9), 1994, pp. 4779-4798
Citations number
22
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
35
Issue
9
Year of publication
1994
Pages
4779 - 4798
Database
ISI
SICI code
0022-2488(1994)35:9<4779:TPFAEO>2.0.ZU;2-7
Abstract
In this article the integrability aspects of the nonlinear evolution e quations for modulated gravity wave trains are investigated by demandi ng the Painleve property of the solutions. The Painleve formulations a lso lead to kink-shaped exact localized solutions of these equations.