We report the first experimental observation of periodic breathers in water waves. One of them is Kuznetsov-Ma soliton and another one is Akhmediev breather. Each of them is a localized solution of the nonlinear Schrödinger equation (NLS) on a constant background. The difference is in localization which is either in time or in space. The experiments conducted in a water wave flume show results ...

In this paper, we investigate a discrete-time neural network model with multiple delays. By analyzing the corresponding characteristic equation of the system, we discuss the stability and the existence of Neimark-Sacker bifurcation for the model. Applying the normal form method and the center manifold theory for discrete time system developed by Kuznetsov, we derive the explicit formula for det...

The model analyzed in this paper is based on the model set forth by V.A. Kuznetsov and M.A. Taylor, which describes a competition between the tumor and immune cells. Kuznetsov and Taylor assumed that tumor-immune interactions can be described by a Michaelis-Menten function. In the present paper a simplified version of the Kuznetsov-Taylor model (where immune reactions are described by a bilinea...

The (3 + 1) dimensional nonlinear ion acoustic waves in multicomponent complex plasma with Kappa electron distribution are studied this work. Zakharov-Kuznetsov (ZK) equation for wave is investigated by the reductive perturbation method. variation of system parameter obtained. Meanwhile, Sagdeev potential function obtained using And phase diagram a two-dimensional autonomous studied. Finally, i...

A new species of the genus Paravillersia Kuznetsov, 1978 (Acari: Stigmaeidae), P. jamaliensis Khaustov sp. nov. is described from mosses on fen in Western Siberia, Russia. The supplementary description of Paravillersia grata Kuznetsov, 1978 is provided based on the type material. 

Recently, many new chaotic flows have been discovered that are not associated with a saddle point, including ones without any equilibrium points, with only stable equilibria, or with a line containing infinitely many equilibrium points [Jafari & Sprott, 2013, 2015; Jafari et al., 2013; Jafari et al., 2015b; Kingni et al., 2014; Lao et al., 2014; Molaie et al., 2013; Pham et al., 2014a; Pham et ...

We study in this article the stochastic Zakharov-Kuznetsov equation driven by a multiplicative noise. We establish, in space dimensions two and three the global existence of martingale solutions, and in space dimension two the global pathwise uniqueness and the existence of pathwise solutions. New methods are employed to deal with a special type of boundary conditions and to verify the pathwise...

In this paper we show wellposedness of two equations of nonlinear acoustics, as relevant e.g. in applications of high intensity ultrasound. After having studied the Dirichlet problem in previous papers, we here consider Neumann boundary conditions which are of particular practical interest in applications. The Westervelt and the Kuznetsov equation are quasilinear evolutionary wave equations wit...

An analytic study was conducted on coupled partial differential equations. We formally derived new solitary wave solutions of generalized coupled system of Zakharov-Kuznetsov (ZK) and KdV equations by using modified extended tanh method. The traveling wave solutions for each generalized coupled system of ZK and KdV equations are shown in form of periodic, dark, and bright solitary wave solution...

In this paper, we propose the fractal (2 + 1)-dimensional Zakharov–Kuznetsov equation based on He’s derivative for first time. The generalized variational formulation is established by using semi-inverse method and two-scale theory. obtained principle important since it not only reveals structure of traveling wave solutions but also helps us study symmetric finding paper will contribute to symm...