کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8942081 | 1645057 | 2019 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Abundant exact solutions to the discrete complex mKdV equation by Darboux transformation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Abundant exact solutions to the discrete complex mKdV equation by Darboux transformation Abundant exact solutions to the discrete complex mKdV equation by Darboux transformation](/preview/png/8942081.png)
چکیده انگلیسی
In this paper, an N-fold Darboux transformation is constructed for the discrete complex modified Korteweg-de Vries equation of focusing type, in terms of determinants. Through the obtained one-fold and two-fold Darboux transformations, a variety of new exact solutions, including an anti-dark soliton solution, a breather solution, a periodic solution, and a two-soliton solution, are derived from a nonzero constant and plane-wave seed solution. Via numerical simulation, a new kind of dynamical behavior of the two-soliton solution is exhibited, which tells that the two-soliton solution includes an anti-dark solitary wave and a w-shaped solitary wave.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 68, March 2019, Pages 31-40
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 68, March 2019, Pages 31-40
نویسندگان
Li-Yuan Ma, Hai-Qiong Zhao, Shou-Feng Shen, Wen-Xiu Ma,