Nonlinear bi-integrable couplings with Hamiltonian structures

Wen-Xiu Ma, Jinghan Meng and Mengshu Zhang

Mathematics and Computers in Simulation (MATCOM), 2016, vol. 127, issue C, 166-177

Abstract: 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.

Keywords: Bi-integrable coupling; Zero curvature equation; Hamiltonian structure (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:127:y:2016:i:c:p:166-177

DOI: 10.1016/j.matcom.2013.11.007

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