摘要
通过适当的变量变换将某些非线性耦合的偏微分方程(PDE3)转化成单个的非线性偏微分方程,再利用文献[2]中所用的方法得到了这些非线性耦合的偏微分方程一些新的显示精确解.这些精确解不包含在[1]中获得的那些解之中,从而推广了文献[1]的某些结果.此方法也可用来求长水波近似方程的精确解.
By a proper transformation,some nonlinear PDEs are converted to nonlinear PDEs and hence some new exact solutions are obtained via the method proposed in .This method can also be used to seek new exact solution to approximate equations for long water wavers.
出处
《沈阳师范大学学报（自然科学版）》
CAS
2003年第4期246-248,共3页
Journal of Shenyang Normal University:Natural Science Edition
关键词
非线性PDE
孤波解
精确解
nonlinear PDEs
solitary wave solutions
exact solutions
