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
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Abundant exact solutions to the discrete complex mKdV equation by Darboux transformation
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
نویسندگان
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