Travelling-wave and separated variable solutions of a nonlinear Schroedinger equation

DOI10.1063/1.4960723zbMath1345.35097OpenAlexW2514692830MaRDI QIDQ2820895

Fernando D. Nobre, Tassos C. Bountis

Publication date: 12 September 2016

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

Full work available at URL: https://semanticscholar.org/paper/f1d78bc6d8db862fce36c81d251784b77c682425

zbMATH Keywords

Klein-Gordon equationDirac equationtravelling wave solutionsquantum physicslinear Schrödinger equationrelativistic physics\(q\)-exponential frameworkseparated variable solutions

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) NLS equations (nonlinear Schrödinger equations) (35Q55) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Traveling wave solutions (35C07)

Related Items (5)

A family of nonlinear Schrödinger equations admitting \(q\)-plane wave solutions ⋮ Lorentzian solitary wave in a generalised nonlinear Schrödinger equation ⋮ Generalized nonlinear Schrödinger equation: Conservation of energy and solitary-wave solutions ⋮ Nonlinear quantum mechanics in a \(q\)-deformed Hilbert space ⋮ A position-dependent mass harmonic oscillator and deformed space

Cites Work

• From the hypergeometric differential equation to a non-linear Schrödinger one
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Tsallis' maximum entropy ansatz leading to exact analytical time dependent wave packet solutions of a nonlinear Schrödinger equation
• Quasi-stationary states of the NRT nonlinear Schrödinger equation
• Pilot wave approach to the NRT nonlinear Schrödinger equation
• Introduction to Nonextensive Statistical Mechanics
• On aq-generalization of circular and hyperbolic functions
• New representations of π and Dirac delta using the nonextensive-statistical-mechanics q-exponential function
• Nonlinear Schroedinger equation in the presence of uniform acceleration
• Nonlinear quantum equations: Classical field theory

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