کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8145227 | 1524069 | 2017 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Lie symmetry analysis and different types of solutions to a generalized bidirectional sixth-order Sawada-Kotera equation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک اتمی و مولکولی و اپتیک
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Under investigation in this work is a generalized bidirectional sixth-order Sawada-Kotera equation, which is very important in both nonlinear theory and physical application. The Lie symmetry analysis method is implemented to study the vector fields and optimal systems of the equation. Then its symmetry reductions and group invariant solutions are given by using the resulting optimal system, respectively. Furthermore, the explicit power series solutions of the equation are derived with their convergence analysis. Finally, by using the Bell's polynomials, a straightforward way is presented to construct its bilinear form, solitary wave solution and periodic wave solution with detailed derivation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chinese Journal of Physics - Volume 55, Issue 6, December 2017, Pages 2236-2248
Journal: Chinese Journal of Physics - Volume 55, Issue 6, December 2017, Pages 2236-2248
نویسندگان
Li Zou, Shou-Fu Tian, Xiu-Bin Wang, Tian-Tian Zhang,