(3+1)维变系数Burgers方程的类孤子新解  

New soliton-like solutions of (3+1)-dimensional Burgers equation with variable coefficients

作　　者：套格图桑[1,2] Taogetusang(College of Mathematical Science, Inner Mongolia Normal University, Huhhot 010022, China College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043, China)

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022 [2]内蒙古民族大学数学学院,内蒙古通辽028043

出　　处：《量子电子学报》2017年第5期557-561,共5页Chinese Journal of Quantum Electronics

基　　金：国家自然科学基金;11361040;内蒙古自治区自然科学基金;2015MS0128;内蒙占自治区高等学校科学研究基金;NJZY16180;内蒙古民族大学科学研究基金;NMDGPl713~~

摘　　要：提出函数变换与二阶常系数齐次线性常微分方程相结合的方法,借助符号计算系统Mathematica构造了(3+1)维变系数Burgers方程的类孤子新解,其由指数函数、三角函数和有理函数组成.The method combing the function transformation and second order homogeneous linear ordinary differential equation with constant coefficients is proposed. With the help of symbolic calculation system Mathematica, the new soliton-like solutions of （3＋1） dimensional Burgers equation with variable coefficients are constructed, which consists of the exponential function, trigonometric function and rational function.

关 键 词：非线性方程 (3+1)维变系数Burgers方程 类孤子新解 

分 类 号：O175.2[理学—数学]