摘要
利用新的函数变换 ,得到了组合KdV mKdV方程ut+2αuux+3βu2 ux+γuxxx=0的若干精确解析解 ,其中包含钟状孤波解、扭状孤波解 ,新的钟状和扭状组合型的孤波解以及周期波解 .此外 ,也得到了其他类型非线性波方程的解 .
Several exact analytical solutions are obtained for the combined KdV mKdV equation u t+2αuu x+3βu 2u x+γu xxx =0 by using a new function transformation, which contain bell solitary wave solution, kink solitary wave solution, new combining bell and kink solitary wave solution and periodic wave solutions. In addition, the solutions are found for other nonlinear wave equations.
出处
《烟台大学学报(自然科学与工程版)》
CAS
2001年第2期95-99,115,共6页
Journal of Yantai University(Natural Science and Engineering Edition)
基金
高校博士点基金资助项目! (980 14119)
关键词
组合KDV-MKDV方程
孤波解
周期波解
combined KdV mKdV equation
solitary wave solution
periodic wave solution