A coupled extended Lotka-Volterra lattice and a special Toda lattice are derived from the existing bilinear equations. Starting from the corresponding bilinear B€ a acklund transformation, Lax pairs for these two differential-difference systems are obtained. Furthermore, an infinite number of conser
Lax pairs, symmetries and conservation laws of a differential-difference equation—Sato's approach
✍ Scribed by S.Kanaga Vel; K.M. Tamizhmani
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 783 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0960-0779
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✦ Synopsis
Based
on the known elementary introduction of Sato theory for differential equations. the differential-difference equation which belongs to the single component KP family has been considered in the framework of Sato theory. We show that in this natural framework, Lax pairs, symmetries and conservation laws can be obtained in a systematic way.
📜 SIMILAR VOLUMES
The main notions and results which are necessary for finding higher symmetries and conservation laws for general systems of partial differential equations are given. These constitute the starting point for the subsequent papers of this volume. Some problems are also discussed.