Jing Yu et al 2009 J. Phys. A: Math. Theor. 42 465201 doi:10.1088/1751-8113/42/46/465201
Binary nonlinearization of the super AKNS system under an implicit symmetry constraint
Jing Yu1, Jingwei Han1 and Jingsong He2,3
Show affiliationsFor the super AKNS system, an implicit symmetry constraint between the potentials and the eigenfunctions is proposed. After introducing some new variables to explicitly express potentials, the super AKNS system is decomposed into two compatible finite-dimensional super systems (x-part and tn-part). Furthermore, we show that the obtained super systems are integrable super Hamiltonian systems in the supersymmetry manifold 
.
- PACS
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05.45.-a Nonlinear dynamics and nonlinear dynamical systems
- MSC
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70Kxx Nonlinear dynamics (See also 34Cxx, 37-XX)
37J15 Symmetries, invariants, invariant manifolds, momentum maps, reduction (See also 53D20)
37J35 Completely integrable systems, topological structure of phase space, integration methods
- Subjects
- Dates
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Issue 46 (20 November 2009)
Received 15 April 2009, in final form 16 September 2009
Published 22 October 2009
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Binary nonlinearization of the super AKNS system under an implicit symmetry constraint
Jing Yu et al 2009 J. Phys. A: Math. Theor. 42 465201
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