Found 31 Documents (Results 1–31)
Asymptotic stability of small standing solitary waves of the one-dimensional cubic-quintic Schrödinger equation. (English) Zbl 07895064
Orbital stability of standing waves for the Sobolev critical Schrödinger equation with inverse-power potential. (English) Zbl 1540.35366
Stabilizing solitons of the cubic-quintic nonlinear Schrödinger equation by frequency-dependent linear gain-loss and delayed Raman response. (English) Zbl 07722810
Stability and instability of standing-wave solutions to one-dimensional quadratic-cubic Klein-Gordon equations. (English) Zbl 1515.35246
On ground state (in-)stability in multi-dimensional cubic-quintic Schrödinger equations. (English) Zbl 1515.35242
Existence of stable standing waves for the nonlinear Schrödinger equation with the Hardy potential. (English) Zbl 1501.35365
Periodic waves for the cubic-quintic nonlinear Schrödinger equation: existence and orbital stability. (English) Zbl 1501.35359
Asymptotic stability of solitary waves for the 1D cubic-quintic Schrödinger equation with no internal mode. (English) Zbl 1510.35310
Stability of algebraic solitons for nonlinear Schrödinger equations of derivative type: variational approach. (English) Zbl 1503.35028
Reviewer: Hajer Bahouri (Paris)
Existence and stability of traveling waves of the fifth-order KdV equation. (English) Zbl 1492.35260
Orbital stability vs. scattering in the cubic-quintic Schrödinger equation. (English) Zbl 1471.35254
Existence and stability of standing waves for one dimensional NLS with triple power nonlinearities. (English) Zbl 1487.35170
Instability of algebraic standing waves for nonlinear Schrödinger equations with double power nonlinearities. (English) Zbl 1458.35387
Reviewer: Anthony D. Osborne (Keele)
Multiple normalized standing-wave solutions to the scalar non-linear Klein-Gordon equation with two competing powers. (English) Zbl 1448.35335
Scattering for the mass super-critical perturbations of the mass critical nonlinear Schrödinger equations. (English) Zbl 1435.35344
Orbital stability of standing waves for the nonlinear Schrödinger equation with attractive delta potential and double power repulsive nonlinearity. (English) Zbl 1416.81053
On the normalized ground states of second order PDE’s with mixed power non-linearities. (English) Zbl 1421.35067
On stability properties of the cubic-quintic Schrödinger equation with \(\delta\)-point interaction. (English) Zbl 1416.35245
On the standing waves of quantum Zakharov system. (English) Zbl 1383.82058
Reviewer: Alessandro Selvitella (Ottawa)
Exact soliton solution for the fourth-order nonlinear Schrödinger equation with generalized cubic-quintic nonlinearity. (English) Zbl 1352.35139
Stable NLS solitons in a cubic-quintic medium with a delta-function potential. (English) Zbl 1398.35213
Orbital stability: analysis meets geometry. (English) Zbl 1347.37122
Besse, Christophe (ed.) et al., Nonlinear optical and atomic systems. At the interface of physics and mathematics. Based on lecture notes given at the 2013 Painlevé-CEMPI-PhLAM thematic semester. Cham: Springer; Lille: Centre Européen pour les Mathématiques, la Physiques et leurs Interactions (CEMPI) (ISBN 978-3-319-19014-3/pbk; 978-3-319-19015-0/ebook). Lecture Notes in Mathematics 2146, 147-273 (2015).
Reviewer: Irina V. Konopleva (Ul’yanovsk)
Energy criterion of global existence for energy-critical Schrödinger equations with subcritical perturbations. (English) Zbl 1156.35472
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