کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6420073 1631785 2015 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Feedback control for some solutions of the sine-Gordon equation
ترجمه فارسی عنوان
کنترل بازخورد برای بعضی از راه حل های معادله سینو گوردون
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

Evolution of an initial localized bell-shaped state for the sine-Gordon equation is considered. It is obtained numerically that variation in the parameters of the localized input gives rise to different propagating waves as time goes. The speed gradient feedback control method is employed to achieve unified wave profile weakly dependent on initial conditions. Two speed-gradient like algorithms are developed and compared. It is shown that the algorithm using coefficient at the second spatial derivative term in the sine-Gordon equation allows one to generate the same wave with prescribed energy from different initial states having different energies.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 269, 15 October 2015, Pages 17-22
نویسندگان
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