无色散BKP方程族可积耦合推广及其求解

Abstract

Abstract: The symmetry constraint for dispersionless BKP (dBKP) hierarchy is firstly derived 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.

Key words: Dispersionless BKP hierarchy, Extended, Symmetry constraint, Dispersionless BKP hierarchy with self-consistent sources, Hodograph solutions

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Liu Jingxin, Wu Hongxia, Zeng Yunbo. On the Ingegrable Coupled Generalization of Dispersionless BKP Hierarchy and Its Solutions[J].Acta mathematica scientia,Series A, 2017, 37(2): 313-325.

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On the Ingegrable Coupled Generalization of Dispersionless BKP Hierarchy and Its Solutions

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