کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
402948 | 677034 | 2016 | 26 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Symbolic computation on a second-order KdV equation
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
هوش مصنوعی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The second-order KdV equation was introduced as a model to describe the wave propagation in a weakly nonlinear and weakly dispersive system where the existence of multi-soliton solution is raised as an open question. In this paper, we develop the procedures of the Hirota method for solving the equation and give a rigorous proof in the sense of symbolic computation that the equation can only admit the single solitary wave solution with no chance of obtaining the exact multi-soliton solution. With the effort and results illustrated, we hope it will trigger interests from all disciplines to search for the new type of multi-soliton solutions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Symbolic Computation - Volume 74, May–June 2016, Pages 70–95
Journal: Journal of Symbolic Computation - Volume 74, May–June 2016, Pages 70–95
نویسندگان
C.T. Lee, C.C. Lee,