English

Nonlocal Coupled HI-MKdV Systems

Exactly Solvable and Integrable Systems 2019-11-11 v2

Abstract

We first study coupled Hirota-Iwao modified KdV (HI-mKdV) systems and give all possible local and nonlocal reductions of these systems. We then present Hirota bilinear forms of these systems and give one-soliton solutions of them with the help of pfaffians. By using the soliton solutions of the coupled HI-mKdV systems for N=2,3,N=2,3, and N=4N=4 we find one-soliton solutions of the local and nonlocal reduced equations.

Keywords

Cite

@article{arxiv.1811.01400,
  title  = {Nonlocal Coupled HI-MKdV Systems},
  author = {Aslı Pekcan},
  journal= {arXiv preprint arXiv:1811.01400},
  year   = {2019}
}

Comments

32 pages, 14 figures

R2 v1 2026-06-23T05:03:33.626Z