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A systematic construction of integrable delay-difference and delay-differential analogues of soliton equations.
- Source :
-
Journal of Physics A: Mathematical & Theoretical . 8/19/2022, Vol. 55 Issue 33, p1-18. 18p. - 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 Lotkaâ€"Volterra, Toda lattice (TL), 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 TL 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SINE-Gordon equation
*EQUATIONS
*SOLITONS
Subjects
Details
- Language :
- English
- ISSN :
- 17518113
- Volume :
- 55
- Issue :
- 33
- Database :
- Academic Search Index
- Journal :
- Journal of Physics A: Mathematical & Theoretical
- Publication Type :
- Academic Journal
- Accession number :
- 159169795
- Full Text :
- https://doi.org/10.1088/1751-8121/ac7f07