2 papers
math.AP2006
On Decay of Solutions to Nonlinear Scrödinger Equations
A. Pankov
We present general results on exponential decay of finite energy solutions to stationary nonlinear Schrödinger equations.
nlin.PS2005
Gap Solitons in Periodic Discrete Nonlinear Schroedinger Equations
A. Pankov
It is shown that the periodic DNLS, with cubic nonlinearity, possesses gap solutions, i. e. standing waves, with the frequency in a spectral gap, that are exponentially localized i…