کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4642421 | 1341342 | 2008 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On exact travelling wave solutions for two types of nonlinear K(n,n)K(n,n) equations and a generalized KP equation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
In this paper, we study two types of genuinely nonlinear K(n,n)K(n,n) equations and a generalized KP equation. By developing a mathematical method based on the reduction of order of nonlinear differential equations, we derive general formulas for the travelling wave solutions of the three equations. The compactons, solitary patterns, solitons and periodic solutions obtained are expressed analytically. It is shown that the y and z components of the wave number vectors in the travelling wave solutions of the generalized KP equation remain free and arbitrary constants. The work generalizes the known results of travelling wave solutions for the three equations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 212, Issue 2, 1 March 2008, Pages 291–299
Journal: Journal of Computational and Applied Mathematics - Volume 212, Issue 2, 1 March 2008, Pages 291–299
نویسندگان
Shaoyong Lai, Y.H. Wu, B. Wiwatanapataphee,