A Difference Hamiltonian Operator and a Hierarchy of Generalized Toda Lattice Equations

2005 ◽  
Vol 44 (1) ◽  
pp. 1-7 ◽  
Author(s):  
Xi-Xiang Xu ◽  
Hong-Xiang Yang ◽  
Hai-Yong Ding
Keyword(s):  
Toda Lattice ◽  
Hamiltonian Operator ◽  
Toda Lattice Equations

scholarly journals Two-Dimensional Toda Lattice Equations

1988 ◽  
Vol 94 ◽  
pp. 42-58 ◽  
Author(s):  
Ryogo Hirota ◽  
Masaaki Ito ◽  
Fujio Kako
Keyword(s):  
Toda Lattice ◽  
Two Dimensional ◽  
Toda Lattice Equations

scholarly journals The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras

1981 ◽  
Vol 1 (3) ◽  
pp. 361-380 ◽  
Author(s):  
George Wilson
Keyword(s):  
Lie Algebra ◽  
Lie Algebras ◽  
Toda Lattice ◽  
Evolution Equations ◽  
Gordon Equation ◽  
Two Dimensional ◽  
Simple Lie Algebras ◽  
Kdv Equations ◽  
Modified Kdv Equations ◽  
Toda Lattice Equations

AbstractWe associate to each complex simple Lie algebra g a hierarchy of evolution equations; in the simplest case g = sl(2) they are the modified KdV equations. These new equations are related to the two-dimensional Toda lattice equations associated with g in the same way that the modified KdV equations are related to the sinh-Gordon equation.

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