Species of the genus Fibuloides Kuznetsov that occur in China are reviewed. Fibuloides trapezoidea, sp. n.is described as new; Fibuloides levatana (Kuznetsov) and Fibuloides modificana Kuznetsov are newly recorded for China; Acroclita nigrovenana Kuznetsov, syn. n. is considered as a synonym of Fibuloides corinthia (Meyrick); and Eucoenogenes elongata Zhang & Li and Eucoenogenes wuyiensis Zhang...

The main idea of this paper is to study the chaotic behavior Zakharov–Kuznetsov equation with perturbation. By taking traveling wave transformation, we transform perturbed dual-power law and triple-power nonlinearity into planar dynamic systems, then analyze how external terms affect behavior. We emphasize here that there no phenomenon for non-perturbed ZK equation, thus it only caused by terms.

Dimension breaking occurs when the solution of a nonlinear partial differential equation (PDE) depending on n independent variables bifurcates to one depending on n + 1. A central hypothesis in the theory of dimension breaking is that a certain operator should have a non-zero purely imaginary eigenvalue. This hypothesis is difficult to verify in general. We present a geometric theory for verify...

ABSTRACT Mathematical modeling of many physical systems leads to nonlinear evolution equations because most physical systems are inherently nonlinear in nature. The investigation of traveling wave solutions of nonlinear partial differential equations (NPDEs) plays a significant role in the study of nonlinear physical phenomena. In this article, we construct the traveling wave solutions of modif...

The generalized Riccati equation mapping is extended with the basic G′/G -expansion method which is powerful and straightforward mathematical tool for solving nonlinear partial differential equations. In this paper, we construct twenty-seven traveling wave solutions for the 2 1 -dimensional modified Zakharov-Kuznetsov equation by applying this method. Further, the auxiliary equation G′ η w uG η...

Local well-posedness for the two-dimensional Zakharov-Kuznetsov equation in fully periodic case with initial data Sobolev spaces $H^s$, $s>1$, is proved. Frequency dependent time localization utilized to control derivative nonlinearity. The new ingredient improve on previous results a nonlinear Loomis-Whitney-type inequality.