(3+1)维变系数Burgers方程的类孤子新解 |
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引用本文: | 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, 0(5): 557-561. DOI: 10.3969/j.issn.1007-5461.2017.05.007 |
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作者姓名: | 套格图桑 |
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作者单位: | 内蒙古师范大学数学科学学院,内蒙古 呼和浩特 010022;内蒙古民族大学数学学院,内蒙古 通辽 028043 |
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基金项目: | National Natural Science Foundation of China(国家自然科学基金;China(内蒙古自治区自然科学基金;China(内蒙古自治区高等学校科学研究基金;China(内蒙古民族大学科学研究基金 |
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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.
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关 键 词: | 非线性方程 (3%2B1)维变系数Burgers方程 类孤子新解 |
New soliton-like solutions of (3+1)-dimensional Burgers equation with variable coefficients |
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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. |
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Keywords: | nonlinear equation (3+1)-dimensional Burgers equation with variable coefficients new soliton-like solutions |
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