کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4634217 1340688 2008 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
New travelling wave solutions to some nonlinear equations via a combined method
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
New travelling wave solutions to some nonlinear equations via a combined method
چکیده انگلیسی

Based on the sine-Gordon and the sinh-Gordon equations, transformations are introduced in a variable separated ODE method to construct entirely new doubly periodic (Jacobian elliptic function) solutions of some nonlinear differential equations, which are powerful and simple. Distinct sets of exact doubly periodic solutions, that possess distinct physical structures, are obtained for the MKdV-sine-Gordon, the MKdV-sinh-Gordon equations and Born-Infeld equation. When the module m→1m→1 or 0, the corresponding solitary wave solutions are also found. This approach can be also applied to solve other nonlinear differential equations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 204, Issue 2, 15 October 2008, Pages 726–732
نویسندگان
, ,