Abstract
The general properties of a class of nonlinear Schroedinger equations: iut + p:∇∇u + f(|u|2)u = 0 are reviewed. Conditions for existence, uniqueness, and stability of solitary wave solutions are presented, along with conditions for blow-up and global existence for the Cauchy problem.
Original language | English |
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Journal | Physica Scripta |
Volume | 33 |
Issue number | 6 |
Pages (from-to) | 481-497 |
ISSN | 0031-8949 |
DOIs | |
Publication status | Published - 1986 |