Discrete second-order Ablowitz–Kaup–Newell–Segur equation and its modified form
Author:
Publisher
Pleiades Publishing Ltd
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Link
https://link.springer.com/content/pdf/10.1134/S0040577922030023.pdf
Reference29 articles.
1. M. J. Ablowitz, D. J. Kaup, A. C. Newell, and H. Segur, “Nonlinear-evolution equations in physical significance,” Phys. Rev. Lett., 31, 125–127 (1973).
2. M. J. Ablowitz and F. J. Ladik, “A nonlinear difference scheme and inverse scattering,” Stud. Appl. Math., 55, 213–229 (1976).
3. M. J. Ablowitz and F. J. Ladik, “On the solution of a class of nonlinear partial difference equations,” Stud. Appl. Math., 57, 1–12 (1977).
4. T. Tsuchida, “Integrable discretization of coupled nonlinear Schrödinger equations,” Rep. Math. Phys., 46, 269–278 (2000); arXiv: nlin/0002048.
5. B. G. Konopelchenko, “Elementary Bäcklund transformations, nonlinear superposition principle and solutions of the integrable equations,” Phys. Lett. A, 87, 445–448 (1982).
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