Fractional Ginzburg-Landau equation for fractal mediaстатья
Информация о цитировании статьи получена из
Scopus,
Web of Science
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:We derive the fractional generalization of the Ginzburg–Landau equation from the
variational Euler–Lagrange equation for fractal media. To describe fractal media we use the
fractional integrals considered as approximations of integrals on fractals. Some simple
solutions of the Ginzburg–Landau equation for fractal media are considered and different
forms of the fractional Ginzburg–Landau equation or nonlinear Schro¨ dinger equation with
fractional derivatives are presented. The Agrawal variational principle and its generalization
have been applied.