Modulational instability and localized breather in discrete Schrödinger equation with helicoidal hopping and a power-law nonlinearity

DOI10.1016/j.physleta.2018.04.038zbMath1396.81086OpenAlexW2801333516MaRDI QIDQ1786723

Zi-Hao Li, Guan-Qiang Li, Jiang-Tao Cai, Wei Qi, Hai-Feng Li

Publication date: 24 September 2018

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2018.04.038

zbMATH Keywords

modulational instabilitypower-law nonlinearityDNLS equationlocalized breatherlong-range hopping

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)

Cites Work

• The discrete nonlinear Schrödinger equation. Mathematical analysis, numerical computations and physical perspectives
• Discrete solitons in nonlinear Schrödinger lattices with a power-law nonlinearity
• Soliton dynamics in the discrete nonlinear Schrödinger equation
• Helicoidal Peyrard–Bishop Model of DNA Dynamics*

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