扩展的映射法与mKdV-Burgers方程的精确解  

The extended mapping method and exact solutions of mKdV-Burgers equation

作　　者：李晓峰[1] 韩家骅[1] 

机构地区：[1]安徽大学物理与材料科学学院,安徽合肥230039

出　　处：《江苏师范大学学报（自然科学版）》2012年第3期4-7,26,共5页Journal of Jiangsu Normal University：Natural Science Edition

基　　金：安徽省科技厅年度重点基金资助项目(01041188)

摘　　要：运用映射法并结合辅助方程,求出了mKdV-Burgers方程不同的形式解.根据求出的系数知,决定椭圆函数的模数只能取两种临界值,由此得到了该方程相应的三角函数周期波解和双曲函数孤波解.Combining the extended mapping method with auxiliary equation, we obtain the solutions of the mKdV- Burgers equation in different forms. Also according to the derived coefficients, we know that the modulus of elliptic function can only be taken as two kinds of thresholds, so corresponding trigonometric periodic wave and hyperbolic functions solitary wave solutions of the equation are obtained.

关 键 词：映射法 周期波解 孤波解 辅助方程 MKDV-BURGERS方程 

分 类 号：O175.29[理学—数学] O415[理学—基础数学]