摘要
为了快速获得(2+1)维含弥散项长波方程(DLWE)的精确行波解,利用王明亮教授最近提出的(G′/G)展开法,借助Mathematica获得了(2+1)维含弥散项长波方程的精确行波解。获得的精确行波解分别以含4个任意参数的双曲函数、三角函数及有理函数表示;所有获得的精确行波解都进行了检验,表明所获得解全部为(2+1)维含弥散项长波方程的解;当解中参数取特殊值时,可得到特定的精确行波解。
To get exact traveling wave solution of the （2-1-1）-dimensional dispersive long wave equation （DLWE）, we are investigated this equation by the new method called （G′/G）-expansion method present by WANG Ming-liang. With the help of mathematica, several kinds of exact traveling wave solution of DLWE are formally derived. The obtained traveling wave solutions contain four free parameters, and they are expressed by the hyperbolic functions, the rational functions and the trigonometric functions. All obtained solution had been checked by put them to the original equation. The special exact traveling wave solution will obtained when the free parameters are assigned special value.
出处
《火炮发射与控制学报》
北大核心
2011年第2期12-15,共4页
Journal of Gun Launch & Control
关键词
流体力学
(G′/G)展开法
行波解
齐次平衡
fluid mechanics
（G′/G）-expansion method
exact travelling wave solution
homogeneous balance
