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

1999/08/30 by Wen-Xiu Ma, Ma, Wen-Xiu, Si-Ming Zhu +1 · 1 citation
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI #solv-int

paper · pdf · doi:10.48550/arxiv.solv-int/9909001

latex, 8 pages, to appear in Chaos, Solitons and Fractals

arxiv created 1999/08/30 · arxiv updated 2009/11/30

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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• Analyzing the relationship between infinite symmetries and N-soliton solutions in the AKNS system

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