Strong instability of solitary waves for inhomogeneous nonlinear Schrödinger equations
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DOI: 10.1002/mma.7731
Abstract: This paper studies the inhomogeneous nonlinear Schrödinger equations, which may model the propagation of laser beams in nonlinear optics. Using the cross‐constrained variational method, a sharp condition for global existence is derived. Then, by solving… read more here.
Keywords: instability solitary; nonlinear schr; strong instability; inhomogeneous nonlinear ... See more keywords
Strong instability of standing waves for the fractional Choquard equation
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DOI: 10.1063/1.5043473
Abstract: Using variational methods and the potential well theory, strong instability of standing waves for a class of fractional Schrodinger-Choquard equations is established in the mass super-critical and energy sub-critical case.Using variational methods and the potential… read more here.
Keywords: strong instability; instability standing; standing waves; waves fractional ... See more keywords