摘要
利用两种不同的方法考虑非线性浅水长波近似方程组．用ｓｉｎｅｃｏｓｉｎｅ 方法并借助 Ｍａｔｈｅｍａｔｉｃａ 软件和吴文俊消元法，获得三组孤子解．通过引入新的变换，又获得若干有理形式的解．这两种方法也适合于其他非线性方程（ 组） ．
In this paper,the nonlinear approximate equations for long wave in shallow water are studied via using two different methods.Firstly,with the aid of Mathematica and Wu\|elimination method,by using sine\|cosine method,three families of soliton solutions are obtained.Secondly,based on the known references,through using a new transformation,several rational formal solutions are found again.The two methods can be also applied to other nonlinear equations. PACC: 0340K; 0290; 1190
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
1999年第11期1962-1968,共7页
Acta Physica Sinica
基金
国家自然科学基金
