摘要
通过修正的CK直接方法,建立了(2+1)维潘勒卫可积(PIB)方程组的新旧解之间的关系,并得到了更广泛的新解,同时得到了PIB方程组的对称.根据对称得到了方程组的相似约化和一些新的精确解.
By using the modified CK direct method,a relationship is derived between the new solutions and the old ones of the (2+1)-dimensional Painleve integrable Burgers (PIB) equations. This relationship is used to constructed new solutions from given solutions of the equations. Further,the symmetry of PIB equations is determined,which is used to obtain the similarity reductions and some new exact solutions.
出处
《河北师范大学学报(自然科学版)》
CAS
北大核心
2013年第5期448-452,共5页
Journal of Hebei Normal University:Natural Science
基金
国家自然科学和中国工程物理研究院联合基金(11076015)
关键词
(2+1)维PIB方程组
修正的CK直接方法
对称
精确解
(2+1)-dimensional Painleve integrable Burgers equations
modified CK direct method
symmetry
exact solutions