In this paper, we consider the derivation of the Kadomtsev-Petviashvili (KP) equation for cold ion-acoustic wave in the long wavelength limit of the two-dimensional quantum Euler-Poisson system, under different scalings for varying directions in the Gardner-Morikawa transform. It is shown that the types of the KP equation depend on the scaled quantum parameter H > 0. The QKP-I is derived for H ...

Resumen: Este artículo examina la reconstrucción de memoria histórica que lleva a cabo Arde Madrid, una comedia ambientada en el Madrid comienzos los sesenta donde vivía Ava Gardner. Las referencias al cine español años cincuenta y las runaway productions hollywoodenses se entremezclan con biografía Gardner, objeto homenajear actriz cuyas películas ambientadas España fueron determinantes constr...

Using the relation established by Johnson–Zumbrun between Hill’s method of aproximating spectra of periodic-coefficient ordinary differential operators and a generalized periodic Evans function given by the 2-modified characteristic Fredholm determinant of an associated Birman–Schwinger system, together with a Volterra integral computation introduced by Gesztesy–Makarov, we give an explicit con...

In a summary of the general conclusions of a 1961 Cold Spring Harbor Symposium, Monod and Jacob comment that “it is obvious from the analysis of these [bacterial genetic regulatory] mechanisms that their known elements could be connected into a wide variety of ‘circuits’ endowed with any desired degree of stability” [1]. It is remarkable that now, nearly 40 years later, with near universal acce...

The exact traveling wave solutions of the nonlinear variable coefficients Burgers-Fisher equation and the generalized Gardner equation with forced terms can be found in this article using the generalized ( ′ G )-expansion method. As a result, hyperbolic, trigonometric and rational function solutions with parameters are obtained. When these parameters are taken special values, the solitary wave ...