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Bargmann type systems for the generalization of Toda lattices
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نویسنده
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li f. ,lu l.
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منبع
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journal of applied mathematics - 2014 - دوره : 2014 - شماره : 0
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چکیده
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Under a constraint between the potentials and eigenfunctions,the nonlinearization of the lax pairs associated with the discrete hierarchy of a generalization of the toda lattice equation is proposed,which leads to a new symplectic map and a class of finite-dimensional hamiltonian systems. the generating function of the integrals of motion is presented,by which the symplectic map and these finite-dimensional hamiltonian systems are further proved to be completely integrable in the liouville sense. finally,the representation of solutions for a lattice equation in the discrete hierarchy is obtained. © 2014 fang li and liping lu.
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آدرس
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college of science,henan university of technology,100 lianhua road,zhengzhou, China, department of information engineering,henan college of finance and taxation,zhengkai road,zhengzhou, China
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Authors
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