It is argued that univariate long memory estimates based on ex post data tend to underestimate the persistence of ex ante variables (and, hence, that of the ex post variables themselves) because of the presence of unanticipated shocks whose short run volatility masks the degree of long range dependence in the data. Empirical estimates of long range dependence in the Fisher equation are shown to...

in this paper, the dierential transform method (dtm) is applied to the fisherequation. this method can be used to obtain the exact solutions of fisherequation. finally, we give some examples to illustrate the suciency of themethod for solving such nonlinear partial dierential equations. these resultsshow that this technique is easy to apply.

in recent years, numerous approaches have been applied for finding the solutions of functional equations. one of them is the optimal homotopy asymptotic method. in current paper, this method has been applied for obtaining the approximate solution of fisher equation. the reliability of the method will be shown by solving some examples of various kinds and comparing the obtained outcomes with the ...

In this article, we give direct algebraic method for the complex solutions of the Fisher equation and Benjamin-Bona-Mahony equation. We get some complex solutions of the Fisher equation and Benjamin-Bona-Mahony equation by this method.

with a smooth function μ(x) that is 1-periodic in all variables xj, j = 1, . . . , n. This equation is known as the Fisher-Kolmogorov-Petrovskii-Piskunov, or Fisher-KPP equation, and was introduced in 1937 by Fisher, and KPP, in their two respective papers, Fisher’s paper focusing on numerical and “applied tools” analysis, and KPP giving a rigorous mathematical treatment. Both papers were pione...

We consider stationary solutions of the Extended Fisher-Kolmogorov (EFK) equation , a fourth-order model equation for bi-stable systems. We show that as long as the stable equilibrium points are real saddles, the paths in the (u; u 0)-plane of two bounded solutions do not cross. As a consequence we derive that the bounded solutions of the EFK equation correspond exactly to those of the classica...