Abstract
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)-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)-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.
Original language | English |
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Pages (from-to) | 1759-1763 |
Number of pages | 6 |
Journal | Applied Mathematics and Computation |
Volume | 217 |
DOIs | |
Publication status | Published - 2010 |
Keywords
- nonlinear evolution equations
- tanh-function expansion method
- expansion method
- solitary travelling-waves.