湖南理工学院学报
湖南理工學院學報
호남리공학원학보
Journal of Hunan Institute of Science and Technology
2011年
4期
12-15
,共4页
试探函数%高维非线性演化方程%精确解
試探函數%高維非線性縯化方程%精確解
시탐함수%고유비선성연화방정%정학해
trial function%higher-dimensional nonlinear evolution equation%exact solution
将文献【10】中所提出的求非线性演化方程精确解的改进的试探函数法进行推广，求得了非线性数学物理中两个非常重要的高维非线性演化方程的精确解，包括一般形式的行波解、正则孤波解、奇异行波解等．本方法也可用于求解其它高维非线性演化方程．
將文獻【10】中所提齣的求非線性縯化方程精確解的改進的試探函數法進行推廣，求得瞭非線性數學物理中兩箇非常重要的高維非線性縯化方程的精確解，包括一般形式的行波解、正則孤波解、奇異行波解等．本方法也可用于求解其它高維非線性縯化方程．
장문헌【10】중소제출적구비선성연화방정정학해적개진적시탐함수법진행추엄，구득료비선성수학물리중량개비상중요적고유비선성연화방정적정학해，포괄일반형식적행파해、정칙고파해、기이행파해등．본방법야가용우구해기타고유비선성연화방정．
In this paper, we generalize the improved trial function method for seeking the exact solutions of nonlinear evolution equations presented in Ref. [10] to obtain some exact solutions, comprising the general traveling wave solutions, the analytical solitary wave solutions and the singular traveling wave solutions, of two very important higher-dimensional nonlinear evolution equations in nonlinear mathematical physics. The technique used herein can be used to solve other higher-dimensional nonlinear evolution equations in nonlinear mathematical physics.
