کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9501696 | 1338776 | 2005 | 38 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Modulating pulse solutions for quasilinear wave equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
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چکیده انگلیسی
This paper presents an existence proof for symmetric modulating pulse solutions of a quasilinear wave equation. Modulating pulse solutions consist of a pulse-like envelope advancing in the laboratory frame and modulating an underlying wave train; they are also referred to as 'moving breathers' since they are time periodic in a moving frame of reference. The problem is formulated as an infinite-dimensional dynamical system with two stable, two unstable and infinitely many neutral directions. Using a partial normal form and a generalisation of local invariant-manifold theory to the quasilinear setting we prove the existence of modulating pulses on arbitrarily large, but finite domains in space and time.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 219, Issue 1, 1 December 2005, Pages 221-258
Journal: Journal of Differential Equations - Volume 219, Issue 1, 1 December 2005, Pages 221-258
نویسندگان
Mark D. Groves, Guido Schneider,