Two new multi-component BKP hierarchies
Exactly Solvable and Integrable Systems
2007-11-06 v1
Abstract
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 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.
Keywords
Cite
@article{arxiv.0711.0490,
title = {Two new multi-component BKP hierarchies},
author = {Hongxia Wu and Xiaojun Liu and Yunbo Zeng},
journal= {arXiv preprint arXiv:0711.0490},
year = {2007}
}
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12 pages