Applying new wavelet transform method on the generalized-FKPP equation

Document Type : Research Paper


1 Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-3697, Tehran, Iran.

2 School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran.


The numerous methods for solving differential equations exist, every method have benefits and drawbacks, in this field, the combined methods are very useful, one of them is the wavelet transform method (WTM). This method based on the wavelets and corresponding wavelet transform, that dependent on the differential invariants obtained by the Lie symmetry method. In this paper, we apply the WTM on the generalized version of FKPP equation (GFKPP) with non-constant coefficient
where f is a smooth function of either x or t. We will see for suitable wavelets, this method proposes the interesting solutions.