机构地区: 上海理工大学理学院
出 处: 《应用数学》 2009年第3期463-470,共8页
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.