کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
757841 1462603 2017 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Symmetry reduction related with nonlocal symmetry for Gardner equation
ترجمه فارسی عنوان
کاهش تقارن با تقارن غیرمحلی برای معادله گاردنر
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
چکیده انگلیسی


• The nonlocal symmetry for the Gardner equation is derived by the truncated Painlevé analysis or the Möbious (conformal) invariant form.
• To solve the initial value problem related with the nonlocal symmetry, the original Gardner equation is prolonged the enlarged systems.
• Many explicit interaction solutions among different types of solutions are given by using the symmetry reduction method to the enlarged systems.

Based on the truncated Painlevé method or the Möbious (conformal) invariant form, the nonlocal symmetry for the (1+1)–dimensional Gardner equation is derived. The nonlocal symmetry can be localized to the Lie point symmetry by introducing one new dependent variable. Thanks to the localization procedure, the finite symmetry transformations are obtained by solving the initial value problem of the prolonged systems. Furthermore, by using the symmetry reduction method to the enlarged systems, many explicit interaction solutions among different types of solutions such as solitary waves, rational solutions, Painlevé II solutions are given. Especially, some special concrete soliton-cnoidal interaction solutions are analyzed both in analytical and graphical ways.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 42, January 2017, Pages 456–463
نویسندگان
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