کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4643462 1632059 2006 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Exact solutions for some nonlinear evolution equations which describe pseudo-spherical surfaces
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Exact solutions for some nonlinear evolution equations which describe pseudo-spherical surfaces
چکیده انگلیسی

For some nonlinear evolution equations which describe pseudo-spherical surfaces two new exact solution classes are generated from known solutions: either the seed solution is constant or a traveling wave. Exact traveling wave and solitary wave solutions for Burgers’ equation and also for a fifth-order evolution equation containing the fifth-order Korteweg–de Vries equation and also the Sawada–Kotera equation, are obtained by using an improved sine–cosine method and the Wu's elimination method. We also apply Bäcklund transformations to these solutions and generate new soliton solution classes.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 189, Issues 1–2, 1 May 2006, Pages 387–411
نویسندگان
, , ,