Orbital stability of standing waves for some nonlinear Schrödinger equations


We present a general method which enables us to prove the orbital stability of some standing waves in nonlinear Schrödinger equations. For example, we treat the cases of nonlinear Schrödinger equations arising in laser beams, of time-dependent Hartree equations ....

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Communicated by B. Simon

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Cazenave, T., Lions, P.L. Orbital stability of standing waves for some nonlinear Schrödinger equations. Commun.Math. Phys. 85, 549–561 (1982). https://doi.org/10.1007/BF01403504

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