کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8054280 1519449 2017 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nonlocal symmetry and similarity reductions for the Drinfeld-Sokolov-Satsuma-Hirota system
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Nonlocal symmetry and similarity reductions for the Drinfeld-Sokolov-Satsuma-Hirota system
چکیده انگلیسی
The nonlocal symmetry of the Drinfeld-Sokolov-Satsuma-Hirota system is obtained from the known Lax pair, and infinitely many nonlocal symmetries are given by introducing the internal parameters. Then the nonlocal symmetry is localized to a prolonged system by introducing suitable auxiliary dependent variables. By applying the classical Lie symmetry method to this prolonged system, two main results are obtained: a new type of finite symmetry transformation is derived, which can generate new solutions from old ones; some exact interaction solutions among solitons and other complicated waves including periodic cnoidal wave and Painlevé waves are derived through similarity reductions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 64, February 2017, Pages 177-184
نویسندگان
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