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- W2019932084 abstract "A subalgebra of loop algebra Ã2 is established. Therefore, a new isospectral problem is designed. By making use of Tu's scheme, a new integrable system is obtained, which possesses bi-Hamiltonian structure. As its reductions, a formalism similar to the well-known Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy and a generalized standard form of the Schrödinger equation are presented. In addition, in order for a kind of expanding integrable system to be obtained, a proper algebraic transformation is supplied to change loop algebra Ã2 into loop algebra Ã1. Furthermore, a high-dimensional loop algebra is constructed, which is different from any previous one. An integrable coupling of the system obtained is given. Finally, the Hamiltonian form of a binary symmetric constrained flow of the system obtained is presented." @default.
- W2019932084 created "2016-06-24" @default.
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- W2019932084 date "2003-10-30" @default.
- W2019932084 modified "2023-09-23" @default.
- W2019932084 title "An integrable Hamiltonian hierarchy, a high-dimensional loop algebra and associated integrable coupling system" @default.
- W2019932084 doi "https://doi.org/10.1088/1009-1963/12/11/302" @default.
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