کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1707993 1519485 2014 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nonlocal symmetries and explicit solutions of the AKNS system
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Nonlocal symmetries and explicit solutions of the AKNS system
چکیده انگلیسی

In this letter, based on the Lax pair of the Ablowitz–Kaup–Newell–Segur (AKNS) system, the nonlocal symmetry is obtained and successfully localized to a Lie point symmetry by introducing an appropriate auxiliary dependent variable. For the closed prolongation, the construction for the one-dimensional optimal system is presented in detail. Furthermore, using the obtained optimal system, we give the reductions and the explicit analytic interaction solutions between cnoidal waves and solitary waves. For some interesting solutions, the figures are given to show their properties.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 28, February 2014, Pages 7–13
نویسندگان
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