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 |
|---|---|
| Journal | Physica Scripta |
| Volume | 33 |
| Issue number | 6 |
| Pages (from-to) | 481-497 |
| ISSN | 0031-8949 |
| Publication status | Published - 1986 |