摘要
基于行波变换和齐次平衡原理研究ZK-BBM方程,讨论了解存在的所有可能性,并利用G′/G展开法求出ZK-BBM方程的解,得到该方程新的一般形式的精确解,进而讨论特殊情况下该方程的一组特解,扩大解的范围,使方程的解更加完善。
Based on the traveling wave transformation and the homogeneous balance principle,the ZK-BBM equation is studied,and all possibilities existed are discussed,then using the G′/G expansion method,the solutions of ZK-BBM equation are calculated,and the new equation of the general form of the exact solution is obtained.The special case of a group of the equation solutions to expand the scope of the solution is discussed and the solution of the equation is made perfect.
作者
唐晓苓
刘汉泽
TANG Xiao-ling;LIU Han-ze(School of Mathematical Sciences,Liaocheng University,Liaocheng 252059,China)
出处
《滨州学院学报》
2019年第4期45-49,共5页
Journal of Binzhou University
基金
国家自然科学基金资助项目(11171041)
关键词
行波变换
齐次平衡原理
G′/G展开法
精确解
ZK-BBM方程
traveling wave transformation
homogeneous balance principle
G′/G expansion method
exact solution
ZK-BBM equation
