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Modulational stability of ground states of nonlinear Schroedinger equations

Technical Report ·
OSTI ID:5792500
The modulational stability of ground state solitary-wave solutions of nonlinear Schroedinger equations relative to perturbations in the equation and initial data is studied. In the subcritical case ground states are shown by variational methods to be stable modulo time-dependent adjustments (modulations) of free parameters. These parameters satisfy the modulation equations, a coupled system of nonlinear ODE's governing the amplitude, phase, position, and speed of the dominant solitary-wave part of the solution.
Research Organization:
Stanford Univ., CA (USA). Dept. of Mathematics
OSTI ID:
5792500
Report Number(s):
AD-A-165474/8/XAB
Country of Publication:
United States
Language:
English

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Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
ENERGY LEVELS
EQUATIONS
GROUND STATES
MODULATION
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
SCHROEDINGER EQUATION
STABILITY
VARIATIONAL METHODS
WAVE EQUATIONS