量子电子学报, 2017, 34 (5): 557, 网络出版: 2017-10-30
(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
非线性方程 (3+1)维变系数Burgers方程 类孤子新解 nonlinear equation (3+1)-dimensional Burgers equation with variable c new soliton-like solutions
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。
Abstract
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.
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, 2017, 34(5): 557. 套格图桑. New soliton-like solutions of (3+1)-dimensional Burgers equation with variable coefficients[J]. Chinese Journal of Quantum Electronics, 2017, 34(5): 557.
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