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math.AP2019★ 3 cited
Orbital stability of standing waves for the nonlinear Schrödinger equation with attractive delta potential and double power repulsive nonlinearity
Jaime Angulo Pava, César A. Hernández Melo, Ramón G. Plaza
In this paper, a nonlinear Schrödinger equation with an attractive (focusing) delta potential and a repulsive (defocusing) double power nonlinearity in one spatial dimension is con…
math.AP2017★ 1 cited
Stability of equilibrium solutions of a double power reaction diffusion equation with a Dirac interaction
César Adolfo Hernández Melo, Edgar Yesid Mayorga Lancheros
In this paper we provide detailed information about the instability of equilibrium solutions of a nonlinear family of localized reaction-difussion equations in dimensione one. Beyo…