Variational approach for breathers in a nonlinear fractional Schrödinger equation

DOI10.1016/J.CNSNS.2018.11.013zbMath1464.35394OpenAlexW2902288823MaRDI QIDQ2207328

Qi Guo, Daquan Lu, Manna Chen, Wei Hu

Publication date: 22 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.2018.11.013

zbMATH Keywords

nonlinear Schrödinger equationvariational approachfractional calculusbreather

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Fractional partial differential equations (35R11)

Related Items (8)

Vortex solitons in fractional nonlinear Schrödinger equation with the cubic-quintic nonlinearity ⋮ Fractional quantum couplers ⋮ Gap solitons and nonlinear Bloch waves in fractional quantum coupler with periodic potential ⋮ Bright solitons in fractional coupler with spatially periodical modulated nonlinearity ⋮ 1D Solitons in Saturable Nonlinear Media with Space Fractional Derivatives ⋮ Propagation dynamics of tripole breathers in nonlocal nonlinear media ⋮ Spontaneous symmetry breaking in purely nonlinear fractional systems ⋮ Control of dark and anti-dark solitons in the \((2+1)\)-dimensional coupled nonlinear Schrödinger equations with perturbed dispersion and nonlinearity in a nonlinear optical system

Cites Work

• Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
• A fractional Schrödinger equation and its solution
• Fractional quantum mechanics and Lévy path integrals
• Accessible solitons of fractional dimension
• Structure-preserving numerical methods for the fractional Schrödinger equation
• Accelerated Imaginary‐time Evolution Methods for the Computation of Solitary Waves
• Numerical study of fractional nonlinear Schrödinger equations

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