A (2 + 1)-dimensional integrable hierarchy and its extending integrable model
โ Scribed by Yufeng Zhang; Xiurong Guo
- Book ID
- 108088526
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 115 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0960-0779
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๐ SIMILAR VOLUMES
## a b s t r a c t In this work, a completely integrable (2 + 1)-dimensional KdV6 equation is investigated. The Cole-Hopf transformation method combined with the Hirota's bilinear sense are used to determine two sets of solutions for this equation. Multiple soliton solutions are formally derived t
Two new 2 + 1 dimensional nonlinear evolution equations are presented. The 2 + 1 dimensional equations closely relate with a hierarchy of 1 + 1 dimensional soliton equations. Through nonlinearizing of Lax pairs, the 1 + 1 dimensional evolution equations are decomposed to the finite dimensional integ
a b s t r a c t A Lax pair is given for which a new soliton hierarchy of evolution with constrained conditions is obtained. Two kinds of extending integrable models are worked out by employing two enlarging Lie algebras of the Lie algebra A 1 .