Meshy soliton structures for (2+1)-dimensional integrable systems and interactions
Exactly Solvable and Integrable Systems
2021-09-14 v1 Mathematical Physics
math.MP
Abstract
In this letter, we construct new meshy soliton structures by using two concrete (2+1)-dimensional integrable systems. The explicit expressions based on corresponding Cole-Hopf type transformations are obtained. Constraint equation ft+\sum_{j=1}^{N} h_j(y)f_{jx} = 0 shows that these meshy soliton structures can be linear or parabolic. Interaction between meshy soliton structure and Lump structure are also revealed.
Cite
@article{arxiv.2109.06001,
title = {Meshy soliton structures for (2+1)-dimensional integrable systems and interactions},
author = {Shoufeng Shen and Guofang Wang and Yongyang Jin},
journal= {arXiv preprint arXiv:2109.06001},
year = {2021}
}