摘要
BaiCL在 2 0 0 1年提出了双曲函数法 ,并把解设成具体的双曲函数 ,即sinhω和coshω的线性组合 .本文把解设成是由 2个函数f(ξ)和g(ξ)组成的线性组合 ,它们可以有多种取法 ,从而使方程更直接、更有效 .借助数学软件Maple ,用改进后的方法和吴文俊消元法 ,求解BaiCL文中的一个例子 ,获得了包含Bai文结果在内的更为丰富、精确的行波解 .
By referring to the hyperbola function method introduced by Bai C L in 2001, which sets the solution as a combination of the hyperbola functions sinhω and coshω, differently the solution here is a linear combination of two, functions f(ξ)和g(ξ),which have many choices. Therefore it seems to be more direct and efficient. With the help of the mathematic software Maple, one of the examples in Bai’s article is solved by using the improved method and the Wu elimination method. More abundant exact traveling wave solutions are obtained, including the solutions in Bai’s article.
出处
《宁波大学学报（理工版）》
CAS
2004年第3期268-270,共3页
Journal of Ningbo University：Natural Science and Engineering Edition
关键词
双曲函数法
数学软件Maple
吴文俊消元法
非线性演化方程
hyperbola function method
mathematic software Maple
Wu elimination method
nonlinear evolution equation
