广义Pochhammer-Chree方程的新孤波解和余弦周期波解  

New Soliton Solutions and Periodic Wave Solutions with Cosine Function Form for the Generalized Pochhammer-Chree Equation

作　　者：李韶伟[1,2] 张卫国[1] 

机构地区：[1]上海理工大学理学院,上海200093 [2]台州学院数信学院,浙江台州317000

出　　处：《应用数学》2009年第3期463-470,共8页Mathematica Applicata

基　　金：上海市教委科技发展基金资助项目(07ZZ83)

摘　　要：本文利用假设待定法求出了具5阶非线性项的广义Pochhammer-Chree方程具双曲正割函数分式形式的2个新孤波解和6个余弦函数周期波解,并分别给出了它们的有界性条件.揭示了行波波速v的改变与钟状孤波解和余弦周期波解波形变化的相关性.In this paper,we obtained two new soliton solutions with the hyperbolic secant function fractional form and six periodic wave solutions with cosine function form for the Pochhammer-Chree equation by means of the undetermined assumption method.Moreover,we discussed the boundedness of these solutions.Moreover,the correlative characteristic was discovered between the exact solitary-wave solutions and the periodic wave solutions along with the variation of the traveling wave's velocity.

关 键 词：广义Pochhammer-Chree方程 孤波解 周期波解 

分 类 号：O175.29[理学—数学]