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Nonlinear bi-integrable couplings with Hamiltonian structures
Journal article   Peer reviewed

Nonlinear bi-integrable couplings with Hamiltonian structures

Wen-Xiu Ma, Jinghan Meng and Mengshu Zhang
Mathematics and computers in simulation, Vol.127, pp.166-177
01/09/2016
DOI: https://doi.org/10.1016/j.matcom.2013.11.007

Abstract

Computer Science Computer Science, Interdisciplinary Applications Computer Science, Software Engineering Mathematics Mathematics, Applied Physical Sciences Science & Technology Technology
Bi-integrable couplings of soliton equations are presented through introducing non-semisimple matrix Lie algebras on which there exist non-degenerate, symmetric and ad-invariant bilinear forms. The corresponding variational identity yields Hamiltonian structures of the resulting bi-integrable couplings. An application to the AKNS spectral problem gives bi-integrable couplings with Hamiltonian structures for the AKNS equations. (C) 2014 IMACS. Published by Elsevier B.V. All rights reserved.

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