scholarly journals Dispersionless Pfaff-Toda hierarchy and elliptic Löwner equation

2016 ◽  
Vol 57 (9) ◽  
pp. 093507
Author(s):  
V. Akhmedova ◽  
A. Zabrodin
Keyword(s):  
Toda Hierarchy ◽  
Löwner Equation

Non-local integrable equations as reductions of the Toda hierarchy

1991 ◽  
Vol 160 (2) ◽  
pp. 166-172 ◽  
Author(s):  
D. Lebedev ◽  
A. Orlov ◽  
S. Pakuliak ◽  
A. Zabrodin
Keyword(s):  
Integrable Equations ◽  
Toda Hierarchy ◽  
Non Local

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.

scholarly journals QUASI-PERIODIC SOLUTIONS OF THE RELATIVISTIC TODA HIERARCHY

2012 ◽  
Vol 19 (04) ◽  
pp. 1250030 ◽  
Author(s):  
DONG GONG ◽  
XIANGUO GENG
Keyword(s):  
Meromorphic Function ◽  
Periodic Solutions ◽  
Continuous Flow ◽  
Hyperelliptic Curve ◽  
Algebraic Curves ◽  
Asymptotic Properties ◽  
Toda Hierarchy ◽  
Discrete Flow

On the basis of the theory of algebraic curves, the continuous flow and discrete flow related to the relativistic Toda hierarchy are straightened out using the Abel–Jacobi coordinates. The meromorphic function and the Baker–Akhiezer function are introduced on the hyperelliptic curve. Quasi-periodic solutions of the relativistic Toda hierarchy are constructed with the help of the asymptotic properties and the algebro-geometric characters of the meromorphic function and the hyperelliptic curve.

Singular and Tangent Slit Solutions to the Löwner Equation

2009 ◽  
pp. 455-463 ◽  
Author(s):  
Dmitri Prokhorov ◽  
Alexander Vasil’ev
Keyword(s):  
Löwner Equation

scholarly journals Rational reductions of the 2D-Toda hierarchy and mirror symmetry

2017 ◽  
Vol 19 (3) ◽  
pp. 835-880 ◽  
Author(s):  
Andrea Brini ◽  
Guido Carlet ◽  
Stefano Romano ◽  
Paolo Rossi
Keyword(s):  
Mirror Symmetry ◽  
Toda Hierarchy
Sign in / Sign up

Export Citation Format

Share Document