English

The AB equations and the $\bar\partial$-dressing method in semi-characteristic coordinates

Exactly Solvable and Integrable Systems 2015-06-15 v2

Abstract

The dressing method based on the 2×22\times2 matrix ˉ\bar\partial-problem is generalized to study the canonical form of AB equations. The soliton solutions for the AB equations are given by virtue of the properties of Cauchy matrix. Asymptotic behaviors of the NN-soliton solution are discussed.

Keywords

Cite

@article{arxiv.1304.4096,
  title  = {The AB equations and the $\bar\partial$-dressing method in semi-characteristic coordinates},
  author = {Junyi Zhu and Xianguo Geng},
  journal= {arXiv preprint arXiv:1304.4096},
  year   = {2015}
}

Comments

20 pages,10 figures

R2 v1 2026-06-21T23:59:42.211Z