scholarly journals The discrete Toda equation revisited: dualβ-Grothendieck polynomials, ultradiscretization, and static solitons

2018 ◽  
Vol 51 (13) ◽  
pp. 134002 ◽  
Author(s):  
Shinsuke Iwao ◽  
Hidetomo Nagai
Keyword(s):  
Toda Equation ◽  
Grothendieck Polynomials

scholarly journals Set-valued Rothe tableaux and Grothendieck polynomials

2021 ◽  
Vol 128 ◽  
pp. 102203
Author(s):  
Neil J.Y. Fan ◽  
Peter L. Guo
Keyword(s):  
Grothendieck Polynomials

scholarly journals Identities on factorial Grothendieck polynomials

2019 ◽  
Vol 111 ◽  
pp. 101933 ◽  
Author(s):  
Peter L. Guo ◽  
Sophie C.C. Sun
Keyword(s):  
Grothendieck Polynomials

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.

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