کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6419454 1339409 2011 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On periodic waves for sine- and sinh-Gordon equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On periodic waves for sine- and sinh-Gordon equations
چکیده انگلیسی

Results of existence as well as orbital stability/instability of periodic waves associated with sine-Gordon and sinh-Gordon equations will be treated in this manuscript. The sine-Gordon equation is known to be completely integrable, exactly solvable and it has several special solutions as soliton and breather solutions. We obtain in both cases, a periodic sign-changed wave which is smooth when posed on whole real line. The main tool used is the Grillakis, Shatah and Straussʼ theory.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 379, Issue 1, 1 July 2011, Pages 334-350
نویسندگان
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