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Transverse instability for periodic waves of KP-I and Schrödinger equations
transverse instability periodic traveling waves KP-I equation Schr¨odinger equation
2011/1/21
We consider the quadratic and cubic KP - I and NLS models in 1+2 dimensions with periodic boundary conditions. We show that the spatially periodic travelling waves (with period
K) in the form u(t, x,...
Nonlinear instability of linearly unstable standing waves for nonlinear Schrödinger equations
Nonlinear instability linearly unstable standing waves nonlinear Schrö dinger equations
2010/12/13
We study the instability of standing waves for nonlinear Schr¨odinger equations. Under a general assumption on nonlinearity, we prove that linear instability implies orbital instability in any dimensi...