The lattice Sine-Gordon equation as a superposition formula for an NLS-type system

Research output: Other contribution to conferencePresentation only


Treating the lattice sine-Gordon equation, along with its two simplest generalized symmetries, as a compatible system allows one to investigate another integrable system not directly connected to the sine-Gordon equation: a modified non-linear Schrödinger system with derivative.
The first step involves eliminating shifts from the two symmetries of the lattice sine-Gordon equation, resulting in the NLS-type system. Subsequently, an auto-Bäcklund transformation and a superposition formula for the NLS-type system are obtained by eliminating shifts from both the lattice sine-Gordon equation and its down-shifted version. We employ the derived formulas to calculate a superposition of two and three elementary solutions.
Original languageEnglish
Publication statusPublished - 01 Dec 2023
EventEleventh Workshop on Integrable Systems 2023 - University of Sydney, Sydney, Australia
Duration: 30 Nov 202301 Dec 2023 (Event information)


WorkshopEleventh Workshop on Integrable Systems 2023
OtherThe eleventh workshop on Integrable Systems will be held at the School of Mathematics and Statistics at the University of Sydney on 30 November – 1 December 2023.

This year we expect again a very exciting meeting with many interesting presentations. The workshop is organised by Harini Desiraju, Nalini Joshi, Milena Radnovic, Pieter Roffelsen.
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