Peierls-Nabarro potential profile of discrete nonlinear Schrödinger equation

DOI10.1016/j.cnsns.2016.10.019zbMath1448.81330OpenAlexW2545018662MaRDI QIDQ2005144

U. Al Khawaja, S. M. Al-Marzoug, H. Bahlouli

Publication date: 7 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2016.10.019

zbMATH Keywords

discrete solitonsPeierls-Nabarro potential

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbation theories for operators and differential equations in quantum theory (81Q15) Soliton solutions (35C08) Quantum dots, waveguides, ratchets, etc. (81Q37)

Related Items (1)

Existence and stability of discrete solitons in nonlinear Schrödinger lattices with hard potentials

Cites Work

• The discrete nonlinear Schrödinger equation. Mathematical analysis, numerical computations and physical perspectives
• Soliton dynamics in the discrete nonlinear Schrödinger equation
• Variational solutions for the discrete nonlinear Schrödinger equation
• Multistable solitons in the cubic-quintic discrete nonlinear Schrödinger equation
• Continuum approach to discreteness

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