Multi-focusing and sustained dissipation in the dissipative nonlinear Schrödinger equation

Mathematics and Computers in Simulation

Volumn 55, Issue 4-6, 2001, Pages 503-517

  LeMesurier, Brenton J ^a  

^a School of Business   (United States)

Author keywords

Dissipative; Nonlinear; Nonlinear Schr dinger equation

Indexed keywords

FOCUSING; LASER APPLICATIONS;

NONLINEAR DISSIPATIVE REGULARIZATION; NONLINEAR SCHRODINGER EQUATION;

NONLINEAR EQUATIONS;

EID: 0034911207     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4754(00)00307-4     Document Type: Article

References (13)

1. Averaged description of wave beams in linear and nonlinear media (the method of moments)
2. On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
3. Bi-self-similar wave collapse
4. Ultrastrong wave collapse
5. Focusing and multi-focusing solutions of the nonlinear Schrödinger equation
6. Dissipation at singularities of the nonlinear Schrödinger equation through limits of regularisations
7. Isolated singularities in semilinear problems
8. The focusing singularity of the nonlinear Schrödinger equation
9. Nature of wave collapse in the critical case
10. On long-lived singularities in the nonlinear Schrödinger equation
11. On collapsing solutions of the nonlinear Schrödinger equation in supercritical case
12. Local structure of the self-focusing singularity of the nonlinear Schrödinger equation