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Soliton interactions of integrable models

✍ Scribed by Hang-yu Ruan; Yi-xin Chen

Book ID
104363246
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
561 KB
Volume
17
Category
Article
ISSN
0960-0779

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✦ Synopsis

The solution of integrable (n ΓΎ 1)-dimensional KdV system in bilinear form yields a dromion solution that is localized in all directions. The interactions between two dromions are studied both in analytical and in numerical for three (n ΓΎ 1)-dimensional KdV-type equations (n ΒΌ 1, 2, 3). The same interactive properties between two dromions (solitons) are revealed for these models. The interactions between two dromions (solitons) may be elastic or inelastic for different form of solutions.

πŸ“œ SIMILAR VOLUMES

A new soliton hierarchy and its two exte
A new soliton hierarchy and its two extending integrable models
✍ Qingyou Yan; Tao Li; Yuanxin Liu πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 197 KB

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 .