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On the nonlinear schrödinger equation
Author(s) -
Datseff A. B.
Publication year - 2009
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560280868
Subject(s) - citation , physics , quantum , nonlinear system , schrödinger's cat , library science , mathematical physics , computer science , theoretical physics , quantum mechanics
The nonlinear Schrodinger equation, iut + a∆u + q(|u| )u = 0, where a is a real constant, q is a real-valued function, and ∆ is the Laplacian operator, has been a topic of intensive research in the past 30 years. Recently, there is a growing interest in a fully nonlinear Schrodinger equation, iut + a∆u + q(|u| )u = b(∆p(|u|))p(|u|)u, where b is a real constant and p is a real-valued function, that arises in various physical models. This talk will give some current development for this equation.