Psi-series solution of fractional Ginzburg-Landau equationстатья
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Аннотация:One-dimensional Ginzburg-Landau equations with derivatives of noninteger order are considered. Using psi-series with fractional powers, the solution of the fractional Ginzburg-Landau (FGL) equation is derived. The leading-order behaviours of solutions about an arbitrary singularity, as well as their resonance structures, have been obtained. It was proved that fractional equations of order a with polynomial nonlinearity of order s have the noninteger power-like behaviour of order alpha/(1-s) near the singularity.