A (2-DIMENSIONAL INTEGRABLE SINH-GORDON EXTENSION(1))

Authors
Citation
Qx. Wu et Sy. Lou, A (2-DIMENSIONAL INTEGRABLE SINH-GORDON EXTENSION(1)), Communications in Theoretical Physics, 27(1), 1997, pp. 109-112
Citations number
26
Categorie Soggetti
Physics
ISSN journal
02536102
Volume
27
Issue
1
Year of publication
1997
Pages
109 - 112
Database
ISI
SICI code
0253-6102(1997)27:1<109:A(ISE>2.0.ZU;2-U
Abstract
In this letter, we paint out that if there is a (2+1)-dimensional exte nsion of the KdV equation, then we can get a corresponding (2+1)-dimen sional sine-Gordon (SG) or sinh-Gordon (SHG) extension which is relate d to the negative flow equation of the KdV extension. The (2+1)-dimens ional SG (or SHG) extensions related to the KP, breaking soliton and N izhnik-Novikov-Veselov equations are known in literature while the (21)-dimensional SHG extension related to the negative how equation of t he Boiti-Leon-Manna-Pempinelli (BLMP) equation is obtained in this let ter thanks to the Schwartz form of the BLMP equation being conformal i nvariant.