Multiple solutions for discrete periodic nonlinear Schrödinger equations

DOI10.1063/1.4909527zbMath1360.81152OpenAlexW2065876867MaRDI QIDQ5178204

Shiwang Ma, Ji-Jiang Sun

Publication date: 13 March 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4909527

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Discrete version of topics in analysis (39A12)

Related Items (8)

Standing waves for discrete Schrödinger equations in infinite lattices with saturable nonlinearities ⋮ Ground state solutions for periodic discrete nonlinear Schrödinger equations ⋮ Homoclinic Solutions of Periodic Discrete Schrödinger Equations with Local Superquadratic Conditions ⋮ Multiple solutions for discrete Schrödinger equations with concave-convex nonlinearities ⋮ Ground state solutions for periodic discrete nonlinear Schrödinger equations with saturable nonlinearities ⋮ HOMOCLINIC SOLUTIONS OF DISCRETE NONLINEAR SYSTEMS VIA VARIATIONAL METHOD ⋮ Ground state solutions for periodic discrete Schrödinger equations with local super-quadratic conditions ⋮ Existence of a ground-state and infinitely many homoclinic solutions for a periodic discrete system with sign-changing mixed nonlinearities

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