Non-symmetry constraints of the AKNS system yielding integrable Hamiltonian systems

Wen-Xiu Ma; Si-Ming Zhu

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Non-symmetry constraints of the AKNS system yielding integrable Hamiltonian systems

Wen-Xiu Ma·Si-Ming Zhu

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Abstract

This paper aims to show that there exist non-symmetry constraints which yield integrable Hamiltonian systems through nonlinearization of spectral problems of soliton systems, like symmetry constraints. Taking the AKNS spectral problem as an illustrative example, a class of such non-symmetry constraints is introduced for the AKNS system, along with two-dimensional integrable Hamiltonian systems generated from the AKNS spectral problem.

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BibTeX RIS

Wen-Xiu Ma, Si-Ming Zhu. 1999-08-30. Non-symmetry constraints of the AKNS system yielding integrable Hamiltonian systems. https://arxiv.org/abs/solv-int/9909001

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