کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
474396 | 698873 | 2007 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A generalized auxiliary equation method and its application to (2+1) -dimensional Korteweg–de Vries equations
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A generalized auxiliary equation method is proposed for constructing more general exact solutions of nonlinear partial differential equations. With the aid of symbolic computation, we choose the (2+1)-dimensional Korteweg–de Vries equations to illustrate the validity and advantages of this method. As a result, many new and more general exact non-travelling wave and coefficient function solutions are obtained, which include soliton-like solutions, triangular-like solutions, single and combined non-degenerate Jacobi elliptic wave function-like solutions and Weierstrass elliptic doubly-like periodic solutions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 54, Issues 7–8, October 2007, Pages 1028–1038
Journal: Computers & Mathematics with Applications - Volume 54, Issues 7–8, October 2007, Pages 1028–1038
نویسندگان
Sheng Zhang,