井冈山大学学报(自然科学版)Issue(1):1-7,7.DOI:10.3969/j.issn.1674-8085.2014.01.001
广义KP-BBM方程的相似、约化、精确解及守恒律
SYMMETRY REDUCTIONS, EXACT SOLUTIONS AND CONSERVATION LAWS OF THE GENERALIZED KADOMTSOV-PETVIASHVILI-BENJAMIN-BONAMAHONY EQUATION
摘要
Abstract
Based on the classical Lie group method, we find the classical symmetry and reductions of (2+1)-dimensional GKP-BBM equation. Some new solutions of the solutions should be derived by applying three auxiliary equations. Furthermore, we give the conservation laws of the GKP-BBM equation.关键词
李群方法/gkp-bbm方程/精确解/对称约化/守恒律Key words
Lie group method/GKP-BBM equation/exact solutions/symmetry reduction/conservation laws分类
数理科学引用本文复制引用
刘勇,刘希强..广义KP-BBM方程的相似、约化、精确解及守恒律[J].井冈山大学学报(自然科学版),2014,(1):1-7,7.基金项目
国家自然科学基金委员会-中国工程物理研究院联合基金项目(11076015) (11076015)