The existence of standing wave for the discrete coupled nonlinear Schrödinger lattice

DOI10.1016/j.physleta.2010.02.013zbMath1236.35168OpenAlexW1998452864MaRDI QIDQ2429652

Xin Zhao, Ling Liu, Weiping Yan

Publication date: 30 April 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2010.02.013

zbMATH Keywords

standing waveNehari's manifold approachnonlinear Schrödinger lattice

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Discrete version of topics in analysis (39A12) Special quantum systems, such as solvable systems (81Q80)

Related Items (2)

Standing wave solutions for the discrete coupled nonlinear Schrödinger equations with unbounded potentials ⋮ The existence of discrete solitons for the discrete coupled nonlinear Schrödinger system

Cites Work

• Unnamed Item
• Breathers in nonlinear lattices: existence, linear stability and quantization
• The concept of anti-integrability applied to dynamical systems and to structural and electronic models in condensed matter physics
• The dynamics of coupled perturbed discretized NLS equations
• Global existence and compact attractors for the discrete nonlinear Schrödinger equation
• Existence and stability of quasiperiodic breathers in the discrete nonlinear Schrödinger equation
• Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators
• Standing waves of some coupled nonlinear Schrödinger equations

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