We perturb a linear Schr\"odinger equation with Lam\'e potential with a small positive or negative potential. The new perturbed operator has one or more eigenvalues, at most one in each spectral gap. We then add a nonlinear term and study the stability of the corresponding nonlinear stationary waves.
Stability of standing waves for NLS with perturbed Lam'e potential
CUCCAGNA, SCIPIO
2006-01-01
Abstract
We perturb a linear Schr\"odinger equation with Lam\'e potential with a small positive or negative potential. The new perturbed operator has one or more eigenvalues, at most one in each spectral gap. We then add a nonlinear term and study the stability of the corresponding nonlinear stationary waves.File in questo prodotto:
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