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   Bargmann type systems for the generalization of Toda lattices  
   
نویسنده li f. ,lu l.
منبع journal of applied mathematics - 2014 - دوره : 2014 - شماره : 0
چکیده    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.
آدرس 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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