کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4631597 | 1340625 | 2011 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An efficient algorithm of logarithmic transformation to Hirota bilinear form of KdV-type bilinear equation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: An efficient algorithm of logarithmic transformation to Hirota bilinear form of KdV-type bilinear equation An efficient algorithm of logarithmic transformation to Hirota bilinear form of KdV-type bilinear equation](/preview/png/4631597.png)
چکیده انگلیسی
In this paper, an efficient algorithm of logarithmic transformation to Hirota bilinear form of the KdV-type bilinear equation is established. In the algorithm, some properties of Hirota operator and logarithmic transformation are successfully applied, which helps to prove that the linear terms of the nonlinear partial differential equation play a crucial role in finding the Hirota bilinear form. Experimented with various integro-differential equations, our algorithm is proven to be more efficient than the algorithm referred by Zhou, Fu, and Li in getting the Hirota bilinear form, especially in achieving the coefficient of the logarithmic transformation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 5, 1 November 2011, Pages 2200–2209
Journal: Applied Mathematics and Computation - Volume 218, Issue 5, 1 November 2011, Pages 2200–2209
نویسندگان
Yichao Ye, Lihong Wang, Zhaowei Chang, Jingsong He,