Well-posedness of space fractional Ginzburg-Landau equations involving the fractional Laplacian arising in a Bose-Einstein condensation and its kernel based approximation

DOI10.1016/j.cnsns.2023.107469zbMath1526.35295OpenAlexW4385337172MaRDI QIDQ6058735

Hojatollah Adibi, Mehdi Dehghan, Hamed Mohebalizadeh

Publication date: 1 November 2023

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.2023.107469

zbMATH Keywords

Bose-Einstein condensationGross-Pitaevskii equationartificial neural networkfractional Laplacianfractional Ginzburg-Landau equationregularity of weak solutionGreen kernelsimplicit midpoint difference schemefractal dispersionstrontiumsubrecoil laser cooling

Mathematics Subject Classification ID

Fractional partial differential equations (35R11) Ginzburg-Landau equations (35Q56)

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