A BACKLUND TRANSFORMATION AND NONLINEAR SUPERPOSITION FORMULA FOR THEBELOV-CHALTIKIAN LATTICE

Authors
HU XB ZHU ZN
Citation
Xb. Hu et Zn. Zhu, A BACKLUND TRANSFORMATION AND NONLINEAR SUPERPOSITION FORMULA FOR THEBELOV-CHALTIKIAN LATTICE, Journal of physics. A, mathematical and general, 31(20), 1998, pp. 4755-4761
Citations number
8
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
31
Issue
20
Year of publication
1998
Pages
4755 - 4761
Database
ISI
SICI code
0305-4470(1998)31:20<4755:ABTANS>2.0.ZU;2-E
Abstract
The so-called Belov-Chaltikian lattice is considered. By the dependent variable transformation, the Belov-Chaltikian lattice is transformed into a trilinear form. By introducing an auxiliary variable, we furthe r transform it into the bilinear form. A corresponding Backlund transf ormation for it is obtained. Furthermore, a nonlinear superposition fo rmula is proved rigorously. As an application of the obtained results, soliton solutions are derived.