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Focusing singularity of the cubic Schrödinger equation
161
Citations
15
References
1986
Year
Spectral TheoryFocusing SingularitySingular SolutionsPhysicsEngineeringSingularly Perturbed ProblemNonlinear Wave PropagationCubic Schrödinger EquationQuantum Field TheoryRiemann-hilbert ProblemGeometric Singular Perturbation TheoryCubic Schr\Integrable System
The cubic Schr\"odinger equation has singular solutions in two or more space dimensions. The singularities occur at points of intense self-focusing. In this paper we present numerical results that describe the nature of the focusing singularity.
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