摘要

In this work we study the second Plebanski heavenly equation that describes self-dual gravitational fields. We also study an asymmetric heavenly equation that gives:an alternative description of anti-self-dual gravity and admits partner symmetries. The two equations are integrable. We determine multiple kink solutions, with distinct physical structures, for each equation. The architectures of the simplified Hirota's method is implemented in this paper. The constraint conditions that fall out which must remain valid in order for the multiple kink solutions to exist are derived.

  • 出版日期2016-9