A general nonlocal variable coefficient KdV equation with shifted parity and delayed time reversal
A general nonlocal variable coefficient KdV equation with shifted parity and delayed time reversal
复制标题
具有移位奇偶校验和延迟时间反转的一般非局部变系数KdV方程
DOI：
10.1007/s11071-018-4386-8
复制
发表时间：
2018
影响因子：
5.6
通讯作者：
Wang Jian yong
中科院分区：
文献类型：
--
作者：
Tang Xiao yan;Liu Shuai jun;Liang Zu feng;Wang Jian yong
从平面上的非线性无粘耗散和等效正压涡量方程出发，导出了具有移位奇偶和延迟时间反转的一般非局部时变系数KdV （VCKdV）方程。建立了一个特殊的变换，将其转化为具有移位宇称和延迟时间反转的非局部常系数KdV方程。利用这种变换，可以利用非局部CCKdV方程的精确解来构造非局部VCKdV方程的精确解。给出了两种非线性波激励的图解。虽然它们具有非常简单的波浪剖面，但由于其精确解中的任意时间依赖函数，它们可以以丰富的方式移动，并且可以用于模拟气候灾害中的各种阻塞事件。证明了原始流函数的特殊近似解可以捕获一类具有生存期的两个相关偶极子阻塞事件。
A general nonlocal time-dependent variable coefficient KdV (VCKdV) equation with shifted parity and delayed time reversal is derived from the nonlinear inviscid dissipative and equivalent barotropic vorticity equation in a-plane. A special transformation is established to change it into a nonlocal constant coefficient KdV (CCKdV) equation with shifted parity and delayed time reversal. Making advantage of this transformation, exact solutions of the nonlocal CCKdV equation can be utilized to construct exact solutions of the nonlocal VCKdV equation. Two kinds of nonlinear wave excitations are presented explicitly and graphically. Though they possess very simple wave profiles, they can move in abundant ways due to the arbitrary time-dependent functions in their exact solutions, and can be used to model various blocking events in climate disasters. It is demonstrated that a special approximate solution of the original stream functions can capture a kind of two correlated dipole blocking events with a lifetime.