Non-symmetry constraints of the AKNS system yielding integrable Hamiltonian systems |
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| Institution: | 1. State Key Laboratory of Shale Oil and Gas Enrichment Mechanisms and Effective Development, Beijing 100083, China;2. School of Energy Resources, China University of Geosciences, Beijing 100083, China;3. Petroleum Exploration and Production Research Institute, SINOPEC, Beijing 100083, China;4. School of Geosciences, China University of Petroleum, Qingdao 266580, China |
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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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