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A generalized Broer–Kaup (GBK) hierarchy and its expanding integrable system

✍ Scribed by Qingyou Yan; Dongxiao Niu; Hongzhen Guo

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
167 KB
Volume
13
Category
Article
ISSN
1007-5704

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✦ Synopsis

A new Lax pair is first constructed. By making use of Tu scheme, a Lax integrable system is engendered. Since it can reduce to a generalized Broer-Kaup (GBK) system, we call it GBK hierarchy. Second, both Darboux transformations of the GBK system are obtained, which can generate new solutions. At last, an expanding integrable system of the GBK hierarchy, which is also an integrable coupling, is presented by using the direct sum relations and isomorphic relations between two subalgebras of a high order loop algebra e G.

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