کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4615595 | 1339323 | 2015 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On traveling wave solutions of the θ-equation of dispersive type
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On traveling wave solutions of the θ-equation of dispersive type On traveling wave solutions of the θ-equation of dispersive type](/preview/png/4615595.png)
چکیده انگلیسی
Traveling wave solutions to a class of dispersive models,utâutxx+uux=θuuxxx+(1âθ)uxuxx, are investigated in terms of the parameter θ, including two integrable equations, the Camassa-Holm equation, θ=1/3, and the Degasperis-Procesi equation, θ=1/4, as special models. It was proved in H. Liu and Z. Yin (2011) [39] that when 1/2<θâ¤1 smooth solutions persist for all time, and when 0â¤Î¸â¤12, strong solutions of the θ-equation may blow up in finite time, yielding rich traveling wave patterns. This work therefore restricts to only the range θâ[0,1/2]. It is shown that when θ=0, only periodic travel wave is permissible, and when θ=1/2 traveling waves may be solitary, periodic or kink-like waves. For 0<θ<1/2, traveling waves such as periodic, solitary, peakon, peaked periodic, cusped periodic, or cusped soliton are all permissible.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 421, Issue 1, 1 January 2015, Pages 399-414
Journal: Journal of Mathematical Analysis and Applications - Volume 421, Issue 1, 1 January 2015, Pages 399-414
نویسندگان
Tae Gab Ha, Hailiang Liu,