推广的B-BBM方程和B-BBM方程的显式精确解  

EXPLICIT EXACT SOLUTIONS OF GENERALIZED B-BBM AND B-BBM EQUATIONS

作　　者：陈松林[1] 侯为根[1] 

机构地区：[1]安徽工业大学数理系,马鞍山市243002

出　　处：《物理学报》2001年第10期1842-1845,共4页Acta Physica Sinica

基　　金：安徽省高校中青年学科带头人培养基金及省教委科研基金 (批准号 :99JL0 166)~~

摘　　要：研究了BBM方程和推广的B BBM方程解之间的形变理论 ,通过给出的一类新的形变关系可从BBM方程的已知解形变出推广的B BBM方程的显式精确解 ,并附有这种方法的应用举例 .还对BThe deformation theory for the solutions of BBM equation and generalized B-BBM equation and homogenous balance methods (HBM) for B-BBM equation are studied. The authors propose a new class of deformation formula which can produce the exact explicit solutions of generalized B-BBM equation by deforming the known solution of BBM equation. This paper concludes with an elementary example. As a byproduct, another class of deformation relation(called hybrid) is obtained.

关 键 词：形变理论 齐次平衡法 显式精确解 推广的B-BBM方程 B-BBM方程 数学物理 

分 类 号：O351[理学—流体力学]