INVERSE SPECTRAL TRANSFORM FOR THE HARRY-DYM-EQUATION ON THE COMPLEX-PLANE

Authors
KONOPELCHENKO BG LEE JH
Citation
Bg. Konopelchenko et Jh. Lee, INVERSE SPECTRAL TRANSFORM FOR THE HARRY-DYM-EQUATION ON THE COMPLEX-PLANE, Physica. D, 81(1-2), 1995, pp. 32-43
Citations number
28
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Physica. D → ACNP
ISSN journal
01672789
Volume
81
Issue
1-2
Year of publication
1995
Pages
32 - 43
Database
ISI
SICI code
0167-2789(1995)81:1-2<32:ISTFTH>2.0.ZU;2-J
Abstract
The initial value problem for the Harry Dym equation on the complex pl ane is linearised by the partial derivative-method. A wide class of ex act implicit solutions is constructed by the partial derivative-dressi ng method. It is shown that the peculiarity of the HDc equation is con nected with the presence of an essential singularity for the correspon ding eigenfunction. The method to overcome this singularity is propose d. However, the implicitness of the exact solutions arises as a penalt y.