中文摘要：

该文通过对B类Kadomtsev-Petviashvili（BtypeofKadomtsev-Petviashvili，简称为BKP）方程族基于特征函数及共轭特征函数表示的对称约束取无色散极限，得到无色散BKP（dispersionlessBKP，简称为dBKP）方程族的对称约束；其次，基于dBKP方程族的对称约束，考察了dBKP方程族的推广问题．通过计算推广的dBKP方程族的零曲率方程，该文导出了第一、二类型的带自相容源的dBKP方程fdispersionlessBKPequationwithself-consistentsources，简称为dBKPESCS）及其相应的守恒方程．最后，利用速端变换及约化的方法求解了第一型dBKPESCS．

英文摘要：

The symmetry constraint for dispersionless BKP （dBKP） hierarchy is firstly de- rived by taking dispersionless limit of that for BKP hierarchy. Then, based on the symmetry constraint for dBKP hierarchy, a new extended dBKP hierarchy is constructed. In addition, the integrability of this new extended dBKP hierarchy is proved by presenting its zero-curvature equation and the related conservation equation. From its zero-curvature equation, two types of dBKP equations with self-consistent sources （dBKPESCS） together with their associated conservation equations are obtained. Hodograph solutions for the first type of dBKPESCS are finally obtained.