BKP方程的非行波解  

Non-traveling wave solutions of BKP equation

作　　者：熊维玲[1] 梁海妹 

机构地区：[1]广西科技大学理学院,广西柳州545006

出　　处：《广西科技大学学报》2017年第4期1-5,12,共6页Journal of Guangxi University of Science and Technology

基　　金：国家自然科学基金项目(11271090)资助

摘　　要：利用李群方法得到BKP方程的1个对称和3个对称约化方程,然后通过行波变换将对称约化方程转换为复域的常微分方程,从而得到BKP方程的3类非行波解的结构,并給出该方程的新的非行波精确解.In this paper, the extract solutions for BKP equation have been investigated. One symmetry and three symmetry reduced equations of BKP equation are obtained by Li-group analysis method, which are changed into ordinary differential equations in complex domain by traveling wave transformation. The three classes of non-traveling wave solutions for BKP equation are constructed making use of the structure of solutions for the corresponding ordinary differential equations in complex domain. Meanwhile, the new non-traveling wave extract solutions for it are obtained.

关 键 词：非行波解 李群方法 BKP方程 对称约化方程 

分 类 号：O175.4[理学—数学]