On the Elliptic 2 + 1 Toda Equation

1993 ◽  
pp. 251-256
Author(s):  
J. Villarroel ◽  
M. J. Ablowitz
Keyword(s):  
Toda Equation

On the Full-Discrete Extended Generalised q-Difference Toda System

2017 ◽  
Vol 72 (8) ◽  
pp. 703-709
Author(s):  
Chuanzhong Li ◽  
Anni Meng
Keyword(s):  
Difference Equation ◽  
Hamiltonian Structure ◽  
Soliton Solutions ◽  
Toda Equation ◽  
Lax Pairs ◽  
Toda System ◽  
Toda Hierarchy

AbstractIn this paper, we construct a full-discrete integrable difference equation which is a full-discretisation of the generalised q-Toda equation. Meanwhile its soliton solutions are constructed to show its integrable property. Further the Lax pairs of an extended generalised full-discrete q-Toda hierarchy are also constructed. To show the integrability, the bi-Hamiltonian structure and tau symmetry of the extended full-discrete generalised q-Toda hierarchy are given.

On a Variable Transformation Between Two Integrable Systems: The Discrete Hungry Toda Equation and the Discrete Hungry Lotka-Volterra System

2010 ◽  
Author(s):  
Yusaku Yamamoto ◽  
Akiko Fukuda ◽  
Masashi Iwasaki ◽  
Emiko Ishiwata ◽  
Yoshimasa Nakamura ◽  
...  
Keyword(s):  
Integrable Systems ◽  
Toda Equation ◽  
Volterra System ◽  
Variable Transformation ◽  
Discrete Hungry Toda Equation

scholarly journals Orbit structure of finite zone sector of Toda equation and equation of the KdV (MKdV) type

1999 ◽  
Vol 3 (4) ◽  
pp. 391-398
Author(s):  
P. I. Holod ◽  
O. V. Kisilevych
Keyword(s):  
Toda Equation ◽  
Orbit Structure

scholarly journals Universality of Toda equation in N=2$$ \mathcal{N}=2 $$ superconformal field theories

2019 ◽  
Vol 2019 (2) ◽  
Author(s):  
Antoine Bourget ◽  
Diego Rodriguez-Gomez ◽  
Jorge G. Russo
Keyword(s):  
Field Theories ◽  
Toda Equation ◽  
Superconformal Field Theories

scholarly journals Einstein metrics, projective structures and the SU(∞) Toda equation

2020 ◽  
Vol 147 ◽  
pp. 103523 ◽  
Author(s):  
Maciej Dunajski ◽  
Alice Waterhouse
Keyword(s):  
Einstein Metrics ◽  
Projective Structures ◽  
Toda Equation
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