APPLICATION OF THE HIROTA BILINEAR FORMALISM TO A NEW INTEGRABLE DIFFERENTIAL-DIFFERENCE EQUATION

Authors
HU XB WU YT
Citation
Xb. Hu et Yt. Wu, APPLICATION OF THE HIROTA BILINEAR FORMALISM TO A NEW INTEGRABLE DIFFERENTIAL-DIFFERENCE EQUATION, Physics letters. A, 246(6), 1998, pp. 523-529
Citations number
11
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
246
Issue
6
Year of publication
1998
Pages
523 - 529
Database
ISI
SICI code
0375-9601(1998)246:6<523:AOTHBF>2.0.ZU;2-#
Abstract
A new integrable differential-difference equation is proposed. By the dependent variable transformation, the equation is transformed into a multi-linear form, By introducing an auxiliary variable, we further tr ansform it into the bilinear form. A corresponding Backlund transforma tion for it is obtained, Furthermore, a nonlinear superposition formul a is presented. As an application of the obtained results, soliton sol utions to the equation are derived (C) 1998 Published by Elsevier Scie nce B.V.