کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5774293 1413555 2017 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Transverse instability of periodic and generalized solitary waves for a fifth-order KP model
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Transverse instability of periodic and generalized solitary waves for a fifth-order KP model
چکیده انگلیسی
We consider a fifth-order Kadomtsev-Petviashvili equation which arises as a two-dimensional model in the classical water-wave problem. This equation possesses a family of generalized line solitary waves which decay exponentially to periodic waves at infinity. We prove that these solitary waves are transversely spectrally unstable and that this instability is induced by the transverse instability of the periodic tails. We rely upon a detailed spectral analysis of some suitably chosen linear operators.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 262, Issue 4, 15 February 2017, Pages 3235-3249
نویسندگان
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