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N-fold Darboux transformation of a six-field integrable lattice system.
- Source :
-
International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics . 9/30/2021, Vol. 35 Issue 24, p1-10. 10p. - Publication Year :
- 2021
-
Abstract
- In this paper, we studied a semidiscrete coupled equation, which is integrable in the sense of admitting Lax representations. Proposed first by Vakhnenko in 2006, local conservation laws and one-fold Darboux transformation were presented with different forms, respectively, in O. O. Vakhnenko, J. Phys. Soc. Jpn. 84, 014003 (2015); O. O. Vakhnenko, J. Math. Phys. 56, 033505 (2015); O. O. Vakhnenko, J. Math. Phys. 56, 033505 (2015). On the basis of these results, we principally construct N -fold Darboux transformation by means of researching gauge transformation of its Lax pair, and work out its explicit multisolutions. Given a set of seed solutions and appropriate parameters, we can calculate two-soliton solutions and plot their figures when N = 2. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02179792
- Volume :
- 35
- Issue :
- 24
- Database :
- Academic Search Index
- Journal :
- International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics
- Publication Type :
- Academic Journal
- Accession number :
- 152920255
- Full Text :
- https://doi.org/10.1142/S0217979221502489