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Journal of Nonlinear Mathematical Physics Volume 9, 2002 - Issue sup1: Recent Advances in Integrable Systems
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Original Articles

Adjoint Symmetry Constraints Leading to Binary Nonlinearization

Wen-Xiu Ma Department of Mathematics, City University of Hong Kong, Hong Kong, P. R. China E-mail: [email protected]
&
Ruguang Zhou Department of Mathematics, Xuzhou Normal University, Xuzhou, 221009, P. R. China E-mail: [email protected]
Pages 106-126 | Received 25 Jul 2001, Accepted 16 Aug 2001, Published online: 21 Jan 2013
 
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Abstract

Adjoint symmetry constraints are presented to manipulate binary nonlinearization, and shown to be a slight weaker condition than symmetry constraints in the case of Hamiltonian systems. Applications to the multicomponent AKNS system of nonlinear Schrödinger equations and the multi-wave interaction equations, associated with 3×3 matrix spectral problems, are made for establishing their integrable decompositions.

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