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
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Modulating pulse solutions for quasilinear wave equations
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
نویسندگان
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