کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
839735 1470490 2014 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Well-posedness and dynamics of stochastic fractional model for nonlinear optical fiber materials
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Well-posedness and dynamics of stochastic fractional model for nonlinear optical fiber materials
چکیده انگلیسی

The current paper is devoted to the well-posedness and dynamics of the stochastic coupled fractional Ginzburg–Landau equation, which describes a class of nonlinear optical fiber materials with active and passive coupled cores. By the commutation estimates and Fourier–Galerkin approximation, the global existence of weak solutions and the uniqueness criterion are established. Moreover, the existence of a global attractor is shown. Finally, we consider the long-time behavior of the stochastic coupled fractional Ginzburg–Landau equation (SCFGL) with multiplicative noise, and prove the existence of a random attractor for the random dynamical system generated by the SCFGL equation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 110, November 2014, Pages 33–46
نویسندگان
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