大气尘埃扩散方程行波解  

Travelling Wave Solution for Dust Diffusion Equation in Atmosphere

作　　者：冯依虎 林万涛[2] 莫嘉琪[3] 

机构地区：[1]亳州学院电子与信息工程系,安徽亳州236800 [2]中国科学院大气物理研究所,大气科学和地球流体力学数值模拟国家重点实验室,北京100029 [3]安徽师范大学数学系,安徽芜湖241003

出　　处：《吉林大学学报（理学版）》2016年第6期1199-1204,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:41275062;11202106);安徽省教育厅自然科学重点项目基金(批准号:KJ2015A347);安徽省高校优秀青年人才支持计划重点项目(批准号:gxyqZD2016520)

摘　　要：考虑一类大气尘埃等离子体扩散方程.首先对方程进行行波变换,变为行波方程;其次引入一个泛函,并令该变分为零,决定Lagrange算子;然后构造一个广义变分迭代式和决定零次近似的孤立子函数解,再由迭代式依次求出各次近似孤立子解;最后利用行波变换得到原方程孤立子的各次近似行波解.A class of diffusion equation for dust plasma in atmosphere was considered. Firstly, we took a travelling wave transformation for equation, and turned into a travelling wave equation. Secondly, we introduced a functional, set variation was zero, and determined the Lagrange operator. Then we constructed a generalized variational iteration and determined the zero-th order approximate soliton solution, and derived the any order approximate soliton solutions by iterative. Finally, we used the travelling wave transformation to obtain the any order approximate travelling wave solutions of the soliton for the original equation.

关 键 词：行波解 扩散方程 大气尘埃 等离子体 孤立子解 

分 类 号：O175.29[理学—数学]