New application to Riccati equation

<正>To seek new infinite sequence of exact solutions to nonlinear evolution equations,this paper gives the formula of nonlinear superposition of the solutions and Backlund transformation of Riccati equation.Based on the tanhfunction expansion method and homogenous balance method,new infinite sequence of exact solutions to Zakharov-Kuznetsov equation,Karamoto-Sivashinsky equation and the set of(2+l)-dimensional asymmetric Nizhnik-Novikov-Veselov equations are obtained with the aid of symbolic computation system Mathematica.The method is of significance to construct infinite sequence exact solutions to other nonlinear evolution equations.     

相对论返波管中击穿现象粒子模拟

随着相对论返波管(RBWO)输出功率的提高,RBWO内部击穿问题日益突出。击穿过程中产生的等离子体,会降低输出功率并导致脉冲缩短,大大限制了RBWO的输出单脉冲能量。采用3维粒子模拟,在反射器、慢波结构、提取腔局部区域产生等离子体,建立了RBWO单点击穿及多点击穿模型,获得了等离子体产生的区域和密度对微波输出性能的影响规律。模拟结果表明,输出微波功率随等离子体密度增加而迅速降低,多点击穿相对于单点击穿情况更容易引起输出微波脉冲提前终止,且发射器击穿产生的等离子体效应更为明显。