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A systematic construction of integrable delay-difference and delay-differential analogues of soliton equations
- Source :
- J. Phys. A: Math. Theor. 55 (2022) 335201
- Publication Year :
- 2022
-
Abstract
- We propose a systematic method for constructing integrable delay-difference and delay-differential analogues of known soliton equations such as the Lotka-Volterra, Toda lattice, and sine-Gordon equations and their multi-soliton solutions. It is carried out by applying a reduction and delay-differential limit to the discrete KP or discrete two-dimensional Toda lattice equations. Each of the delay-difference and delay-differential equations has the N-soliton solution, which depends on the delay parameter and converges to an N-soliton solution of a known soliton equation as the delay parameter approaches 0.<br />Comment: 15 pages
- Subjects :
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
Mathematical Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- J. Phys. A: Math. Theor. 55 (2022) 335201
- Publication Type :
- Report
- Accession number :
- edsarx.2201.09474
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/1751-8121/ac7f07