Modulational instability for a logarithmic nonlinear Schrödinger equation

DOI10.1016/j.aml.2015.03.020zbMath1358.35147OpenAlexW2076860865MaRDI QIDQ494561

Takuya Yamano

Publication date: 1 September 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.03.020

zbMATH Keywords

plane wavemodulational instabilitylogarithmic nonlinear Schrödinger equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Quantum measurement theory, state operations, state preparations (81P15) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (3)

Localized traveling wave solution for a logarithmic nonlinear Schrödinger equation ⋮ Gaussian solitary waves for argument-Schrödinger equation ⋮ Gaussian traveling wave solutions for two argument-Schrödinger equations under potentials

Cites Work

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• Wave packet dynamics for a non-linear Schrödinger equation describing continuous position measurements
• Modulation instability: The beginning
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Quantum trajectories and the Bohm time constant
• Erratum: Continuous quantum measurements: restricted path integrals and master equations
• The disintegration of wave trains on deep water Part 1. Theory
• A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I

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