PARTIAL-DERIVATIVE-OVERBAR-DRESSING AND EXACT-SOLUTIONS FOR THE (2-DIMENSIONAL HARRY-DYM EQUATION(1))

Authors
DUBROVSKY VG KONOPELCHENKO BG
Citation
Vg. Dubrovsky et Bg. Konopelchenko, PARTIAL-DERIVATIVE-OVERBAR-DRESSING AND EXACT-SOLUTIONS FOR THE (2-DIMENSIONAL HARRY-DYM EQUATION(1)), Journal of physics. A, mathematical and general, 27(13), 1994, pp. 4619-4628
Citations number
24
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
27
Issue
13
Year of publication
1994
Pages
4619 - 4628
Database
ISI
SICI code
0305-4470(1994)27:13<4619:PAEFT(>2.0.ZU;2-J
Abstract
Exact implicit solutions with functional parameters of the (2 + 1)-dim ensional Harry Dym (HD) equation are constructed by the partial deriva tiveBAR-dressing method. The interrelation between the HD and modified Kadomtsev-Petviashvili (mKP) equations is established within the fram ework of the partial derivativeBAR-dressing method. Knowledge of the m KP eigenfunctions allows the solutions of the (2 + 1)-dimensional HD e quation to be represented in a simple parametric form.