The Lax pairs and conserved quantities of the delay LotkaVolterra equation
Abstract
The delay LotkaVolterra equation is a delaydifferential extension of the well known LotkaVolterra equation, and is known to have Nsoliton solutions. In this paper, Backlund transformations, Lax pairs and infinite conserved quantities of the delay LotkaVolterra equation and its discrete analogue are constructed. The conserved quantities of the delay LotkaVolterra equation turn out to be complicated and described by using the timeordered product of linear operators.
 Publication:

arXiv eprints
 Pub Date:
 February 2024
 DOI:
 10.48550/arXiv.2402.02204
 arXiv:
 arXiv:2402.02204
 Bibcode:
 2024arXiv240202204M
 Keywords:

 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 11 pages