کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7154684 1462584 2018 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical continuation of invariant solutions of the complex Ginzburg-Landau equation
ترجمه فارسی عنوان
ادامه عددی راه حل های غیرمستقیم معادله گینزبورگ-لانداو پیچیده
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
چکیده انگلیسی
We consider the problem of computation and deformation of group orbits of solutions of the complex Ginzburg-Landau equation (CGLE) with cubic nonlinearity in 1+1 space-time dimension invariant under the action of the three-dimensional Lie group of symmetries A(x,t)→eiθA(x+σ,t+τ). From an initial set of group orbits of invariant solutions, for a particular point in the parameter space of the CGLE, we obtain new sets of group orbits of invariant solutions via numerical continuation along paths in the moduli space. The computed solutions along the continuation paths are unstable, and have multiple modes and frequencies active in their spatial and temporal spectra, respectively. Structural changes in the moduli space resulting in symmetry gaining / breaking associated often with the spatial reflection symmetry A(x,t)→A(−x,t) of the CGLE were frequently uncovered in the parameter regions traversed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 61, August 2018, Pages 248-270
نویسندگان
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