In this paper, the perturbed higher-order NLS equation with periodic boundary condition is considered. The existence of the homoclinic orbits for the truncation
We study the global nonexistence of the solutions of the nonlinear q-Laplacian wave equationutt- △qu + (-△)αut = |u|p-2u,where 0 <α≤ 1, 2 ≤ q < p. We obtain
We consider the reaction-diffusion system, a model of a certain chemical morphogenetic process and named Brusselator. For the Cauchy problem of this system with
In this paper we build a class of partial differential operators L having the following property: if u is a meromorphic function in Cn and Lu is a rational func
An activator-inhibitor reaction system with global coupling was introduced in [1]. The authors showed that global couplingsuppresses the breathing motion and en