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Modulational Stability of Ground States of Nonlinear Schrodinger Equations

机译:非线性薛定谔方程基态的调制稳定性

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The modulational stability of ground state solitary wave solutions of nonlinear Schrodinger 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. Keyword: Reprints. (Author)

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