کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
841152 908502 2011 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A comparative study of approximate symmetry and approximate homotopy symmetry to a class of perturbed nonlinear wave equations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
A comparative study of approximate symmetry and approximate homotopy symmetry to a class of perturbed nonlinear wave equations
چکیده انگلیسی

A comparative study of approximate symmetry and approximate homotopy symmetry to a class of perturbed nonlinear wave equations is performed. First, complete infinite-order approximate symmetry classification of the equation is obtained by means of the method originated by Fushchich and Shtelen. An optimal system of one-dimensional subalgebras is derived and used to construct general formulas of approximate symmetry reductions and similarity solutions. Second, we study approximate homotopy symmetry of the equation and construct connections between the two symmetry methods for the first-order and higher-order cases, respectively. The series solutions derived by the two methods are compared.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 74, Issue 13, September 2011, Pages 4300–4318
نویسندگان
, ,