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一类广义Boussinesq方程和Boussinesq-Burgers方程新的显式精确解

ISSN号：1000-3290
期刊名称：《物理学报》
时间：0
分类：O241.82[理学—计算数学;理学—数学]
作者机构：[1]西北工业大学应用数学系,西安710072, [2]许昌学院数学系,许昌461000
相关基金：国家自然科学基金（批准号：10332030,10472091,10502042）、西北工业大学研究生创业种子基金（批准号：Z200572）和西北工业大学博士论文创新基金（批准号：cx200616）资助的课题.

关键词： Boussinesq方程, Boussinesq.Burgers方程, 推广的代数方法, 显式精确解, Boussinesq equations, Boussinesq-Burgers equation, generalized algebraic method, explicit exact solutions

中文摘要：

利用一种推广的代数方法,求解了一类广义Boussinesq方程（B（m,n）方程）和Boussinesq-Burgers方程（B-B方程）.获得了其多种形式的显式精确解,包括孤波解、三角函数解、有理函数解、Jacobi椭圆函数周期解和Weierstrass椭圆函数周期解,进一步丰富了这两类方程的解.

英文摘要：

In this paper, explicit exact solutions of one type of generalized Boussinesq equations （B （m, n） equations） and the Boussinesq-Burgers equation （B-B equation） are investigated using a generalized algebraic method. A variety of explicit exact solutions, such as solitary wave, triangular periodic, rational, Jacobi and Weierstrass elliptic function periodic solutions are obtained.

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