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

Research output: Other contribution to conferencePresentation only

Abstract

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
https://www.maths.usyd.edu.au/u/integrable/programme.html
https://austms.org.au/event/11th-workshop-on-integrable-systems/ (Event information)

Workshop

WorkshopEleventh Workshop on Integrable Systems 2023
Country/TerritoryAustralia
CitySydney
Period30/11/2301/12/23
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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