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利用指数函数法解Burgers-BBM方程
Utilize the Use of Exponential Function Burgers-BBM Equation
【摘要】 根据非线性Burgers-BBM方程的特点,利用指数函数展开法及齐次平衡原理,通过一个变换技巧,并借助Maple数学软件强大符号运算功能,简捷地获得了Burgers-BBM方程的行波解、孤立波解及三角函数周期解。并用Maple软件获得3个典型的波形图。
【Abstract】 According to the characteristics of nonlinear equations,exponential function expansion and homogeneous balance principle method are used to solve the Burgers-BBM equation.Together with transformation skill and Maple symbolic mathematical software,the traveling wave solutions,solitary wave solutions and periodic solutions of trigonometric function of the Burgers-BBM equation are obtained efficiently.Besides,some typical waveforms are plotted by Maple software.
【关键词】 Burgers-BBM方程;
辅助方程法;
齐次平衡原则;
指数函数法;
【Key words】 Burgers-BBM equation auxiliary equation method homogeneous balance principle the exponential function method;
【Key words】 Burgers-BBM equation auxiliary equation method homogeneous balance principle the exponential function method;
【基金】 中国国家自然科学基金(10847139);中国云南省基金(2009CD036、08Z0015)资助
- 【文献出处】 科学技术与工程 ,Science Technology and Engineering , 编辑部邮箱 ,2011年21期
- 【分类号】O175.2
- 【被引频次】1
- 【下载频次】187