Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
1999-08-30
Nonlinear Sciences
Exactly Solvable and Integrable Systems
latex, 8 pages, to appear in Chaos, Solitons and Fractals
Scientific paper
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.
Ma Wen-Xiu
Zhu Si-Ming
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