کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
471986 698679 2009 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A generalized Weierstrass elliptic function expansion method for solving some nonlinear partial differential equations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
A generalized Weierstrass elliptic function expansion method for solving some nonlinear partial differential equations
چکیده انگلیسی

The present paper deals with families of non-trivial solutions of the equation (ddξw)2=Pw4(ξ)+Qw2(ξ)+R. On the basis of these solutions, a direct and generalized algebraic algorithm is described for constructing the new solutions of some nonlinear partial differential equations (NLPDEs). Subsequently, many new and more general exact solutions in terms of the Weierstrass elliptic function ℘(ξ;g2,g3)℘(ξ;g2,g3) are obtained. The method can be applied to other NLPDEs in mathematical physics.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 58, Issue 9, November 2009, Pages 1725–1735
نویسندگان
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