کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6415207 1334972 2014 45 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Well-posedness, wave breaking and peakons for a modified μ-Camassa-Holm equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Well-posedness, wave breaking and peakons for a modified μ-Camassa-Holm equation
چکیده انگلیسی

Considered herein is a modified periodic Camassa-Holm equation with cubic nonlinearity which is called the modified μ-Camassa-Holm equation. The proposed equation is shown to be formally integrable with the Lax pair and bi-Hamiltonian structure. Local well-posedness of the initial-value problem to the modified μ-Camassa-Holm equation in the Besov space is established. Existence of peaked traveling-wave solutions and formation of singularities of solutions for the equation are then investigated. It is shown that the equation admits a single peaked soliton and multi-peakon solutions with a similar character of the μ-Camassa-Holm equation. Singularities of the solutions can occur only in the form of wave-breaking, and several wave-breaking mechanisms for solutions with certain initial profiles are described in detail.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 266, Issue 2, 15 January 2014, Pages 433-477
نویسندگان
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