کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5011290 1462592 2017 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Inverse scattering transform and soliton classification of the coupled modified Korteweg-de Vries equation
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Inverse scattering transform and soliton classification of the coupled modified Korteweg-de Vries equation
چکیده انگلیسی
The inverse scattering transform of the coupled modified Korteweg-de Vries equation is studied by the Riemann-Hilbert approach. In the direct scattering process, the spectral analysis of the Lax pair is performed, from which a Riemann-Hilbert problem is established for the equation. In the inverse scattering process, by solving Riemann-Hilbert problems corresponding to the reflectionless cases, three types of multi-soliton solutions are obtained. The multi-soliton classification is based on the zero structures of the Riemann-Hilbert problem. In addition, some figures are given to illustrate the soliton characteristics of the coupled modified Korteweg-de Vries equation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 53, December 2017, Pages 83-93
نویسندگان
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