کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8946268 1645339 2018 30 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Moment modification, multipeakons, and nonisospectral generalizations
ترجمه فارسی عنوان
اصلاح لحظه ای، چند زبانه و تعمیم های غیر انعکاسی
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
Firstly, a formal correspondence is established between the Camassa-Holm (CH) equation and a two-component modified CH (or called SQQ) equation according to the method of moment modification for multipeakon formulae. Secondly, based on the generalized nonisospectral CH equation in Chang et al. (2014) [14] and the interlacing multipeakons of the two-component modified CH equation in Chang et al. (2016) [15], we propose a new generalized two-component modified CH equation with two parameters, which possesses a nonisospectral Lax pair. The proposed equation still admits multipeakon solutions of explicit and closed form. Sufficient conditions for global existence of solutions are given and two concrete examples with certain interesting phenomenon are presented. Last of all, as a by-product, a generalized nonisospectral modified CH equation is deduced, together with its Lax pair.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 265, Issue 9, 5 November 2018, Pages 3858-3887
نویسندگان
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