کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4609352 | 1338508 | 2016 | 26 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Existence of solitary waves and periodic waves for a perturbed generalized BBM equation
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Existence of solitary waves and periodic waves for a perturbed generalized BBM equation Existence of solitary waves and periodic waves for a perturbed generalized BBM equation](/preview/png/4609352.png)
چکیده انگلیسی
The existence of solitary waves and periodic waves for a perturbed generalized BBM equation is established by using geometric singular perturbation theory. Attention goes to perturbations of the Hamiltonian vector field with an elliptic Hamiltonian of degree four, exhibiting a cuspidal loop. It is proven that the wave speed c0(h)c0(h) is decreasing on h∈[0,1/12]h∈[0,1/12] by analyzing the ratio of Abelian integrals. The upper and lower bounds of the limit wave speed are given. Moreover, the relation between the wave speed and the wavelength of traveling waves is obtained.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 261, Issue 10, 15 November 2016, Pages 5324–5349
Journal: Journal of Differential Equations - Volume 261, Issue 10, 15 November 2016, Pages 5324–5349
نویسندگان
Aiyong Chen, Lina Guo, Xijun Deng,