Nonlinear evolution of the modulational instability

Journal Article · Mon Jan 01 04:00:00 EST 1990 · Physics of Fluids B; (USA)

DOI:https://doi.org/10.1063/1.859584· OSTI ID:7243738

Goldstein, P P ^[1]; Rozmus, W ^[2]

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1. Soltan Institute for Nuclear Studies, 00-681 Warsaw, (Poland)
2. Department of Physics, University of Alberta, Edmonton, Alberta T6G 2J1, Canada (USA)

The Ritz variational method has been applied to the nonlinear Schroedinger equation to construct a model for the nonlinear evolution of the modulational instability. The spatially periodic trial function was chosen in the form of a combination of Jacobian elliptic functions, with the dependence of its parameters subject to optimization. The model predicts development of the instability through localization to a quasisoliton state and a periodic recurrence of the initial condition. Theoretical predictions compare well with numerical solutions to the nonlinear Schroedinger equation.

• OSTI ID: 7243738
• Journal Information: Physics of Fluids B; (USA), Journal Name: Physics of Fluids B; (USA) Vol. 2:1; ISSN 0899-8221; ISSN PFBPE
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
EQUATIONS
FUNCTIONS
INSTABILITY
LAGRANGIAN FUNCTION
MODULATION
NONLINEAR PROBLEMS
OPTIMIZATION
P WAVES
PARTIAL DIFFERENTIAL EQUATIONS
PARTIAL WAVES
PLASMA
PLASMA INSTABILITY
PLASMA WAVES
SCHROEDINGER EQUATION
VARIATIONAL METHODS
WAVE EQUATIONS