کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
838938 | 908377 | 2009 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Compact travelling waves and peakon type solutions of several equations of mathematical physics and their Cellular Neural Network realization
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
This paper deals with compact travelling waves and peakon type solutions of several equations of mathematical physics and their Cellular Neural Network (CNN) realization. More precisely, we study different generalizations of the Camassa–Holm equation, of the Korteweg–de Vries equation and the nonlinear PDE describing the vibrations of a chain of particles interconnected by springs. In many cases the waves develop cusp type singularities at the peaks. In the second part of the paper the CNN realization of the compact travelling waves is fulfilled and the corresponding geometrical illustrations of the interaction of these waves are given.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 10, Issue 3, June 2009, Pages 1453–1465
Journal: Nonlinear Analysis: Real World Applications - Volume 10, Issue 3, June 2009, Pages 1453–1465
نویسندگان
P. Popivanov, A. Slavova, P. Zecca,