(3+1)维变系数Burgers方程的类孤子新解

量子电子学报

(3+1)维变系数Burgers方程的类孤子新解

套格图桑

内蒙古师范大学数学科学学院, 内蒙古呼和浩特 010022

出版日期:2017-09-28 发布日期:2019-06-13
通讯作者: 套格图桑(1964-),蒙古族，内蒙古自治区通辽市人，博士,教授,研究方向为孤立子与可积系统理论及其应用。 E-mail: tgts@imnu.edu.cn
作者简介:套格图桑(1964-),蒙古族，内蒙古自治区通辽市人，博士,教授,研究方向为孤立子与可积系统理论及其应用。E-mail: tgts@imnu.edu.cn
基金资助:
国家自然科学基金(批准号:11361040)、内蒙古自治区高等学校科学研究基金(批准号:NJZY16180)和内蒙古自治区自然科学基金(批准号:2015MS0128)资助的课题

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

Taogetusang

College of Mathematical Science, Inner Mongolia Normal University, Huhhot 010022, China

Published:2017-09-28 Online:2019-06-13

摘要/Abstract

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。

关键词: 二阶常系数齐次线性常微分方程, (3+1)维变系数Burgers方程, 类孤子新解

Abstract: The method combing the function transformation and the 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.

Key words: second order homogeneous linear ordinary differential equation with constant coefficients, (3+1)-dimensional Burgers equation with variable coefficients, new soliton-like solutions

套格图桑. (3+1)维变系数Burgers方程的类孤子新解[J]. 量子电子学报.

Taogetusang. New soliton-like solutions of (3+1)-dimensional Burgers equation with variable coefficients[J]. Chinese Journal of Quantum Electronics.

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