Orbital stability of standing waves for nonlinear fractional Schrödinger equation with unbounded potential

DOI10.1142/S1793557119500438zbMath1415.35254OpenAlexW2797007403MaRDI QIDQ4966680

Xiao-Hua Liu

Publication date: 27 June 2019

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557119500438

zbMATH Keywords

orbital stabilityfractional Schrödinger equationstanding wave

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Fractional partial differential equations (35R11)

Cites Work

• Exact traveling wave solutions to the nonlinear Schrödinger equation
• Multiple solutions for a class of fractional Schrödinger equations in \(\mathbb{R}^N\)
• Exact solutions for the nonlinear Schrödinger equation with variable coefficients using the generalized extended tanh-function, the sine-cosine and the exp-function methods
• Bound state for fractional Schrödinger equation with saturable nonlinearity
• The orbital stability of the solitary wave solutions of the generalized Camassa-Holm equation
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Stability of solitary waves for derivative nonlinear Schrödinger equation
• Stability of small periodic waves for the nonlinear Schrödinger equation
• Soliton solutions for fractional Schrödinger equations
• Existence and stability of standing waves for nonlinear fractional Schrödinger equations with Hartree type nonlinearity
• Existence of weak solutions for a fractional Schrödinger equation
• Cauchy problem and Ehrenfest's law of nonlinear Schrödinger equations with potentials
• Stability theory of solitary waves in the presence of symmetry. I
• Fractional quantum mechanics and Lévy path integrals
• Stability of standing waves for nonlinear Schrödinger equations with unbounded potentials
• Orbital stability of solitary waves for the nonlinear derivative Schrödinger equation
• Concentrating solutions of nonlinear fractional Schrödinger equation with potentials
• Exact solutions of Schrödinger equation for the Makarov potential
• Bound state for the fractional Schrödinger equation with unbounded potential
• On the Cauchy Problem of Fractional Schrödinger Equation with Hartree Type Nonlinearity
• Existence and stability of standing waves for nonlinear fractional Schrödinger equations
• Stability of Solitary Waves of a Generalized Ostrovsky Equation
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
• Ground state solutions of asymptotically linear fractional Schrödinger equations
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