کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4609470 1338513 2016 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Travelling wave solutions for some two-component shallow water models
ترجمه فارسی عنوان
راه حل موج های مسافرتی برای برخی از مدل های آب کم عمق دو جزء
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
In the present study we perform a unified analysis of travelling wave solutions to three different two-component systems which appear in shallow water theory. Namely, we analyze the celebrated Green-Naghdi equations, the integrable two-component Camassa-Holm equations and a new two-component system of Green-Naghdi type. In particular, we are interested in solitary and cnoidal-type solutions, as two most important classes of travelling waves that we encounter in applications. We provide a complete phase-plane analysis of all possible travelling wave solutions which may arise in these models. In particular, we show the existence of new type of solutions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 261, Issue 2, 15 July 2016, Pages 1099-1114
نویسندگان
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