کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4634367 | 1631836 | 2008 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The calculation of novel class of solutions of a non-linear fourth order evolution equation by the Weierstraà transform method
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The calculation of novel class of solutions of a non-linear fourth order evolution equation by the Weierstraà transform method The calculation of novel class of solutions of a non-linear fourth order evolution equation by the Weierstraà transform method](/preview/png/4634367.png)
چکیده انگلیسی
In this paper, the Weierstraà transform method is applied to a non-linear partial differential equation (nPDE) of fourth order to obtain new exact class of solutions in terms of the Weierstraà elliptic function â(ξ; g2, g3). The major aspect of this paper however is the fact that we are able to calculate distinctive class of solutions of a less studied non-linear evolution equation, explicitly given by utt + uxxxt + 3uxxuxt = 0. The derived class of solutions cannot be found in the current literature. More precisely, the mathematical structure of these class of solutions are quite different from those derived by classical “ansatz” methods. In other words, using this special algebraic procedure the solution manifold is augmented to further class of solutions including special functions. They are connected in a complicate way and allow a more general representation as found in previous time. Simultaneously we would like to stress the necessity of such sophisticated methods since a general theory of nPDEs does not exist. In addition, this paper is a logical completion of our recent studies where we have applied successfully the Weierstraà transform method to the important KdV-mKdV equation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 201, Issues 1â2, 15 July 2008, Pages 668-677
Journal: Applied Mathematics and Computation - Volume 201, Issues 1â2, 15 July 2008, Pages 668-677
نویسندگان
Alfred Huber,