Sharper criteria for three-dimensional wave collapse described by the Nonlinear Schrodinger Equation (NLSE) are derived. The collapse threshold corresponds to the ground state soliton which is known to be unstable. Thus, for nonprefocusing distributions this represents the separatrix between collapsing and noncollapsing sectors. Numerical results support the theoretical results. Generalizations of the criteria for the NLSE with arbitrary power nonlinearity are also presented.
|Journal||Physica D: Nonlinear Phenomena|
|Publication status||Published - 1995|
|Event||International Workshop on Nonlinear Schroedinger Equation: Achievements, developments, perspectives - Chernogolovka, Russian Federation|
Duration: 25 Jul 1994 → 3 Aug 1994
|Workshop||International Workshop on Nonlinear Schroedinger Equation|
|Period||25/07/1994 → 03/08/1994|