کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6891951 1445344 2018 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Lie symmetry analysis and conservation law of variable-coefficient Davey-Stewartson equation
ترجمه فارسی عنوان
تجزیه و تحلیل تقارن دروغ و قانون حفظ ضریب متغیر معادله دیوی-استوارتسون
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
چکیده انگلیسی
A variable-coefficient Davey-Stewartson (vcDS) equation is investigated in this paper. Infinitesimal generators and symmetry groups are presented by the Lie group method, and the optimal system is presented with adjoint representation. Based on the optimal system, similarity reductions to partial differential equations (PDEs) are obtained, then some PDEs are reduced to ordinary differential equations (ODEs) by two-dimensional subalgebras, and the similarity solutions are provided, including periodic solutions and elliptic function solutions. With Lagrangian, it is shown that vcDS is nonlinearly self-adjoint. Furthermore, based on nonlinear self-adjointness, conservation laws for vcDS equation are derived.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 75, Issue 9, 1 May 2018, Pages 3420-3430
نویسندگان
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