کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8905208 1633876 2018 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the structure of conservation laws of (3+1)-dimensional wave equation
ترجمه فارسی عنوان
در ساختار قوانین حفاظت معادله موج (3 + 1) - اندازه گیری موج
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
چکیده انگلیسی
In this paper, a (3+1)-dimensional wave equation is studied from the point of view of Lie's theory in partial differential equations including conservation laws. The symmetry operators are determined to find the reduced form of the considered equation. The non-local conservation theorems and multipliers approach are performed on the (3+1)-dimensional wave equation. We obtain conservation laws by using five methods, such as direct method, Noether's method, extended Noether's method, Ibragimov's method; and finally we can derive infinitely many conservation laws from a known conservation law viewed as the last method. We also derive some exact solutions using some conservation laws Anco and Bluman (2002).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Arab Journal of Mathematical Sciences - Volume 24, Issue 2, July 2018, Pages 199-224
نویسندگان
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