Chunxia Li, Professor, Capital Normal University

Xiangke Chang, Associate Professor

From the q-difference two-dimensional Toda lattice equation to the q-deformed sine-Gordon equation

15:50-16:30 November 5(Saturday), N208

As an important extension of the well-known two-dimensional Toda lattice equation, a binary Darboux transformation is established for the q-difference two-dimensional Toda lattice equation, by which Grammian solutions expressed in terms of quantum integrals are constructed. By considering the two-period reductions, the q-deformed sine-Gordon equation together with its solutions are first presented. The other integrable properties of the q-deformed sine-Gordon equation is further explored which include both the nonlinear form and the bilinear form of the q-deformed sine-Gordon equation, the corresponding bilinear Backlund transformation and Lax pair.