3 papers
nlin.SI2025
Integrable semi-discretizations of the sine-Gordon equation in non-characteristic coordinates
Takayuki Tsuchida
Integrable discretizations of the sine-Gordon equation in characteristic (or light-cone) coordinates have been extensively studied after the seminal works of Hirota and Orfanidis i…
nlin.SI2025
On an integrable discretization of the massive Thirring model in non-characteristic coordinates
Takayuki Tsuchida
We propose the Lax-pair representation for an integrable semi-discretization (discretization of the spatial variable) of the massive Thirring model in non-characteristic (in betwee…
nlin.SI2025
On an integrable discretization of the massive Thirring model in light-cone coordinates and the associated Yang-Baxter map
Takayuki Tsuchida
We propose a fully discrete analog of the massive Thirring model in light-cone coordinates by constructing its Lax-pair representation. This Lax-pair representation can also be use…