Computer simulation of wave collapses in the nonlinear Schrödinger equation

N. E. Kosmatov, V. F. Shvets, Vladimir E Zakharov

Research output: Contribution to journalArticle

86 Citations (Scopus)

Abstract

The self-tuning numerical scheme for simulation of collapse phenomena in the framework of the nonlinear Schrödinger equation is developed. The scheme allows to reach extremely high field amplitudes ( |ψ|20|2∼1015 without lack of validity. Numerical results are compared with analytical predictions.

Original languageEnglish (US)
Pages (from-to)16-35
Number of pages20
JournalPhysica D: Nonlinear Phenomena
Volume52
Issue number1
DOIs
StatePublished - Sep 1 1991
Externally publishedYes

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Self-tuning
Nonlinear equations
Numerical Scheme
nonlinear equations
Nonlinear Equations
Computer Simulation
Tuning
computerized simulation
tuning
Numerical Results
Prediction
Computer simulation
predictions
Simulation
simulation
Framework

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

Cite this

Computer simulation of wave collapses in the nonlinear Schrödinger equation. / Kosmatov, N. E.; Shvets, V. F.; Zakharov, Vladimir E.

In: Physica D: Nonlinear Phenomena, Vol. 52, No. 1, 01.09.1991, p. 16-35.

Research output: Contribution to journalArticle

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