An operator theoretic approach to the Toda lattice equation

1998 ◽  
Vol 122 (1-4) ◽  
pp. 37-61 ◽  
Author(s):  
Cornelia Schiebold
Keyword(s):  
Toda Lattice ◽  
Theoretic Approach ◽  
Lattice Equation ◽  
Toda Lattice Equation

On integrability of a noncommutative q -difference two-dimensional Toda lattice equation

2015 ◽  
Vol 379 (47-48) ◽  
pp. 3075-3083 ◽  
Author(s):  
C.X. Li ◽  
J.J.C. Nimmo ◽  
Shoufeng Shen
Keyword(s):  
Toda Lattice ◽  
Two Dimensional ◽  
Lattice Equation ◽  
Toda Lattice Equation

scholarly journals A New Variable-Coefficient Riccati Subequation Method for Solving Nonlinear Lattice Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Fanwei Meng
Keyword(s):  
Variable Coefficient ◽  
Toda Lattice ◽  
Traveling Wave Solutions ◽  
Trigonometric Function ◽  
Hyperbolic Function ◽  
Lattice Equation ◽  
New Exact Solutions ◽  
Hyperbolic Function Solutions ◽  
Trigonometric Function Solutions ◽  
Toda Lattice Equation

We propose a new variable-coefficient Riccati subequation method to establish new exact solutions for nonlinear differential-difference equations. For illustrating the validity of this method, we apply it to the discrete (2 + 1)-dimensional Toda lattice equation. As a result, some new and generalized traveling wave solutions including hyperbolic function solutions, trigonometric function solutions, and rational function solutions are obtained.

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