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

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B

The 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.