井冈山大学学报（自然科学版）Issue(5)：1-5,5.DOI:10.3969/j.issn.1674-8085.2012.05.001
变系数 mKdV 方程的精确解
EXACT SOLUTIONS OF MKDV EQUATIONS WITH VARIABLE COEFFICIENTS
摘要
Abstract
We study the mKdV equation with variable coefficients from the Lie symmetry of view. We also obtain Lie algebra, optimal system, the similarity and exact solutions to the equation. Furthermore, we use the optimal system to construct the exact solutions. In addition, 1-soliton solution of mKdV equation is obtained by the aid of solitary wave ansatz method.关键词
变系数mKdV方程/李群方法/对称约化/精确解/孤立子解Key words
variable coefficients mKdV equation/Lie symmetries method/symmetry reduction/exact solutions/soliton solutions分类
数理科学引用本文复制引用
王岗伟,刘希强,张颖元..变系数 mKdV 方程的精确解[J].井冈山大学学报（自然科学版）,2012,(5):1-5,5.基金项目
国家自然科学基金资助项目和中国工程物理研究院联合基金资助项目(11076015) （11076015）
