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The discrete nonlinear Schrödinger equation – 20 years on. (English) Zbl 1032.81007

Vázquez, Luis (ed.) et al., Proceedings of the 3rd conference on localization and energy transfer in nonlinear systems, San Lorenzo de El Escorial, Spain, June 17-21, 2002. River Edge, NJ: World Scientific. 44-67 (2003).
Summary: We review work on the discrete nonlinear Schrödinger equation over the last two decades.
For the entire collection see [Zbl 1020.00014].

MSC:

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
35Q55 NLS equations (nonlinear Schrödinger equations)
35Q51 Soliton equations
81-02 Research exposition (monographs, survey articles) pertaining to quantum theory
81-03 History of quantum theory
01A60 History of mathematics in the 20th century