کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6422057 1340607 2011 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Self-adjointness of a generalized Camassa-Holm equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Self-adjointness of a generalized Camassa-Holm equation
چکیده انگلیسی
It is well known that the Camassa-Holm equation possesses numerous remarkable properties characteristic for KdV type equations. In this paper we show that it shares one more property with the KdV equation. Namely, it is shown in [1,2] that the KdV and the modified KdV equations are self-adjoint. Starting from the generalization [3] of the Camassa-Holm equation [4], we prove that the Camassa-Holm equation is self-adjoint. This property is important, e.g. for constructing conservation laws associated with symmetries of the equation in question. Accordingly, we construct conservation laws for the generalized Camassa-Holm equation using its symmetries.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 6, 15 November 2011, Pages 2579-2583
نویسندگان
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