Nonlinear bi-integrable couplings with Hamiltonian structures

Wen-Xiu Ma,Jinghan Meng,Mengshu Zhang

doi:10.1016/j.matcom.2013.11.007

Nonlinear bi-integrable couplings with Hamiltonian structures

Wen-Xiu Ma, Jinghan Meng + Show 1 more

https://doi.org/10.1016/j.matcom.2013.11.007

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Journal: Mathematics and Computers in Simulation	Publication Date: Apr 12, 2014
Citations: 7

Affiliation: University of South Florida

#Bi-integrable Couplings #Hamiltonian Structures + Show 8 more

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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.

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