کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4631594 | 1340625 | 2011 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
New exact solutions for the nonlinear wave equation with fifth-order nonlinear term
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: New exact solutions for the nonlinear wave equation with fifth-order nonlinear term New exact solutions for the nonlinear wave equation with fifth-order nonlinear term](/preview/png/4631594.png)
چکیده انگلیسی
The purpose of this paper is to reveal the dynamical behavior of the nonlinear wave equation with fifth-order nonlinear term, and provides its bounded traveling wave solutions. Applying the bifurcation theory of planar dynamical systems, we depict phase portraits of the traveling wave system corresponding to this equation under various parameter conditions. Through discussing the bifurcation of phase portraits, we obtain all explicit expressions of solitary wave solutions and kink wave solutions. Further, we investigate the relation between the bounded orbit of the traveling wave system and the energy level h. By analyzing the energy level constant h, we get all possible periodic wave solutions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 5, 1 November 2011, Pages 2155-2166
Journal: Applied Mathematics and Computation - Volume 218, Issue 5, 1 November 2011, Pages 2155-2166
نویسندگان
Caier Ye, Weiguo Zhang,