【摘 要】
：
The celebrated (1+1)-dimensional Korteweg de-Vries (KdV) equation and its (2+1)-dimensional extension,the Kadomtsev-Petviashvili (KP) equation,are two of the mo
【机 构】
：
School of Physical Science and Technology, Ningbo University, Ningbo 315211, China
论文部分内容阅读
The celebrated (1+1)-dimensional Korteweg de-Vries (KdV) equation and its (2+1)-dimensional extension,the Kadomtsev-Petviashvili (KP) equation,are two of the most important models in physical science.The KP hierarchy is explicitly written out by means of the linearized operator of the KP equation.A novel (2+1)-dimensiona1 KdV extension,the cKP3-4 equation,is obtained by combining the third member (KP3,the usual KP equation) and the fourth member (KP4) of the KP hierarchy.The integrability of the cKP3-4 equation is guaranteed by the existence of the Lax pair and dual Lax pair.The cKP3-4 system can be bilinearized by using Hirota’s bilinear operators after introducing an additional auxiliary variable.Exact solutions of the cKP3-4 equation possess some peculiar and interesting properties which are not valid for the KP3 and KP4 equations.For instance,the soliton molecules and the missing D’Alembert type solutions (the arbitrary travelling waves moving in one direction with a fixed model dependent velocity) including periodic kink molecules,periodic kink-antikink molecules,few-cycle solitons,and envelope solitons exist for the cKP3-4 equation but not for the separated KP3 equation and the KP4 equation.
其他文献
In recent years,clinical studies have found that acetone concentration in exhaled breath can be taken as a characteristic marker of diabetes.Metal-oxide-semicon
An analytical propagation expression of a Pearcey beam in uniaxial crystals orthogonal to the optical axis is derived. The propagations of the Pearcey beam in t
当前,随着农村初中教育的整体发展,农村地区初中学校德育工作有所突破,但是,农村中学教育发展的特殊性给农村地区初中学校德育工作提出了新课题.新形势下,出现了很多影响德育
通过对中外优秀网球女子运动员的比赛数据进行统计分析,研究我国主要技战术的特点、存在的不足,找到相应的解决措施.
The variational and diffusion Monte Carlo approaches are used to study the ground-state properties of a hydrogen molecular ion in a spheroidal box. In this work
We study the spatiotemporal Bloch states of a high-frequency driven two-component Bose–Einstein condensate (BEC) with spin–orbit coupling (SOC) in an optical
Topological Dirac semimetals (DSMs) present a kind of topologically nontrivial quantum state of matter,which has massless Dirac fermions in the bulk and topolog
本文主要对后摆蹲踞式、前倾蹲踞式、前抓台式三种游泳出发技术进行对比分析,以运动学角度为出发点,得出3种游泳出发技术的特征,并根据实际情况选择恰当的游泳出发方式.
YbMnBi2 is a recently discovered time-reversal-symmetry breaking type-Ⅱ Weyl semimetal. However, as a repre-sentation of the new category of topological matter
In order to measure controllability of vertical instability in EAST, the calculation of model-based vertical growth rate,called rt-gamma, has been successfully