广义BBM-KdV方程的两种孤波解及其守恒律

Solitary Wave Solutions and Conservation Laws for the Generalized BBM-KdV Equation

摘要: 对广义BBM-KdV方程进行研究，证明其具有两个物理守恒量，并用ansätze方法构造了广义BBM-KdV方程方程的双曲正割形式孤波解和双曲余割形式孤波解。

Abstract: In this paper, the generalized BBM-KdV equation is studied. It is proved that it has two physical conserved quantities, and the hyperbolic circumformal and hyperbolic circumcut formal solitary wave solutions of the generalized BBM-KdV equation are constructed by ansätze method.