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

DOI10.1016/S0378-4754(00)00307-4zbMath0982.65097MaRDI QIDQ5937541

Brenton J. LeMesurier

Publication date: 12 July 2001

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

zbMATH Keywords

nonlinear Schrödinger equationsingular solutionsdissipative solutionsnonlinear dissipative regularization

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (1)

Regularization and control of self-focusing in the 2D cubic Schrödinger equation by attractive linear potentials

Cites Work

• Focusing and multi-focusing solutions of the nonlinear Schrödinger equation
• Local structure of the self-focusing singularity of the nonlinear Schrödinger equation
• Isolated singularities in semilinear problems
• Dissipation at singularities of the nonlinear Schrödinger equation through limits of regularisations
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
• Unnamed Item

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