Computer simulation of wave collapses in the nonlinear Schrödinger equation

N. E. Kosmatov; V. F. Shvets; V. E. Zakharov

doi:10.1016/0167-2789(91)90022-2

Computer simulation of wave collapses in the nonlinear Schrödinger equation

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

Mathematics

Research output: Contribution to journal › Article › peer-review

92 Scopus citations

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|² |ψ₀|²∼10¹⁵ without lack of validity. Numerical results are compared with analytical predictions.

Original language	English (US)
Pages (from-to)	16-35
Number of pages	20
Journal	Physica D: Nonlinear Phenomena
Volume	52
Issue number	1
DOIs	https://doi.org/10.1016/0167-2789(91)90022-2
State	Published - Sep 1 1991

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/0167-2789(91)90022-2

Cite this

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title = "Computer simulation of wave collapses in the nonlinear Schr{\"o}dinger equation",

abstract = "The self-tuning numerical scheme for simulation of collapse phenomena in the framework of the nonlinear Schr{\"o}dinger equation is developed. The scheme allows to reach extremely high field amplitudes ( |ψ|2 |ψ0|2∼1015 without lack of validity. Numerical results are compared with analytical predictions.",

author = "Kosmatov, \{N. E.\} and Shvets, \{V. F.\} and Zakharov, \{V. E.\}",

year = "1991",

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AU - Shvets, V. F.

AU - Zakharov, V. E.

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Y1 - 1991/9/1

N2 - 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|2 |ψ0|2∼1015 without lack of validity. Numerical results are compared with analytical predictions.

AB - 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|2 |ψ0|2∼1015 without lack of validity. Numerical results are compared with analytical predictions.

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U2 - 10.1016/0167-2789(91)90022-2

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JO - Physica D: Nonlinear Phenomena

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Computer simulation of wave collapses in the nonlinear Schrödinger equation

Abstract

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