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Integrable decomposition of a hierarchy of soliton equations and integrable coupling system by semidirect sums of Lie algebras

✍ Scribed by Lin Luo; Engui Fan

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 289 KB
Volume: 69
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2007.09.032

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✦ Synopsis

Staring from a new spectral problem, a hierarchy of the soliton equations is derived. It is shown that the associated hierarchies are infinite-dimensional integrable Hamiltonian systems. By the procedure of nonlinearization of the Lax pairs, the integrable decomposition of the whole soliton hierarchy is given. Further, we construct two integrable coupling systems for the hierarchy by the conception of semidirect sums of Lie algebras.

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