کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4632042 1340634 2010 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Observations on the basic (G′/G)(G′/G)-expansion method for finding solutions to nonlinear evolution equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Observations on the basic (G′/G)(G′/G)-expansion method for finding solutions to nonlinear evolution equations
چکیده انگلیسی

The extended tanh-function expansion method for finding solutions to nonlinear evolution equations delivers solutions in a straightforward manner and in a neat and helpful form. On the other hand, the more recent but less efficient (G′/G)(G′/G)-expansion method delivers solutions in a rather cumbersome form. It is shown that these solutions are merely disguised forms of the solutions given by the earlier method so that the two methods are entirely equivalent. An unfortunate consequence of this observation is that, in many papers in which the (G′/G)(G′/G)-expansion method has been used, claims that ‘new’ solutions have been derived are often erroneous; the so-called ‘new’ solutions are merely disguised versions of previously known solutions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 217, Issue 4, 15 October 2010, Pages 1759–1763
نویسندگان
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