A new isospectral problem is designed by considering a subalgebra A 1 of loop algebra e A A 1 , which possesses two power gaps of spectral parameter k. It follows that a new type of integrable system is obtained by choosing suitable modified term and Tu-model, which has bi-Hamiltonian structure. Fur
A new soliton hierarchy and its two extending integrable models
โ Scribed by Qingyou Yan; Tao Li; Yuanxin Liu
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 197 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1007-5704
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โฆ Synopsis
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 .
๐ SIMILAR VOLUMES
By using a Lie algebra G and its loop algebra e G, a soliton hierarchy of evolution equations is derived from which the well-known Gerdjikov-Ivanov (GI) hierarchy with two potential functions is obtained. With the help of different choices of the modified terms, two expanding integrable systems are
Four higher-dimensional Lie algebras are introduced. With the help of their different loop algebras and the block matrices of Lax pairs for the zero curvature representations of two given integrable couplings, the two types of coupling integrable couplings of the AKNS hierarchy and the KN hierarchy
## A new subalgebra of loop algebra ร A 1 is first constructed. Then a new Lax pair is presented, whose compatibility gives rise to a new Liouville integrable system(called a major result), possessing bi-Hamiltonian structures. It is remarkable that two symplectic operators obtained in this paper