Abstract:
For solutions of discrete evolution equations accurate estimates are
given, and assertions are obtained on asymptotic transitions to
solutions of integrable continuous equations such as the Korteweg–de Vries equation and the nonlinear Schrödinger equation
Citation:
L. A. Kalyakin, “Asymptotic transitions from discrete to continuous models”, TMF, 76:3 (1988), 323–327; Theoret. and Math. Phys., 76:3 (1988), 891–894
This publication is cited in the following 3 articles:
B. I. Suleimanov, A. M. Shavlukov, “Integrable Abel equation and asymptotics
of symmetry solutions of Korteweg-de Vries equation”, Ufa Math. J., 13:2 (2021), 99–106
Habibullin I., Zheltukhina N., Sakieva A., “Discretization of hyperbolic type Darboux integrable equations preserving integrability”, J Math Phys, 52:9 (2011), 093507
R H Heredero, D Levi, M Petrera, C Scimiterna, “Multiscale expansion on the lattice and integrability of partial difference equations”, J. Phys. A: Math. Theor., 41:31 (2008), 315208