Two new multi-component BKP hierarchies

Details Two new multi-component BKP hierarchies Two new multi-component BKP hierarchies

2007-11-04

arxiv.org/abs/0711.0490v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 pages

Scientific paper

We firstly propose two kinds of new multi-component BKP (mcBKP) hierarchy based on the eigenfunction symmetry reduction and nonstandard reduction, respectively. The first one contains two types of BKP equation with self-consistent sources which Lax representations are presented. The two mcBKP hierarchies both admit reductions to the $k-$constrained BKP hierarchy and to integrable (1+1)-dimensional hierarchy with self-consistent sources, which include two types of SK equation with self-consistent sources and of bi-directional SK equations with self-consistent sources.

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