Small Solitons and Multi-Solitons in Generalized Davey-Stewartson System
Analysis of PDEs
2022-01-26 v1
Abstract
This paper is concerned with the generalized Davey-Stewarston system in two dimensional space. Existence and stability of small solitons are proved by solving two correlative constrained variational problems and spectrum analysis. In addition, multi-solitons with different speeds are constructed by bootstrap argument.
Keywords
Cite
@article{arxiv.2201.10195,
title = {Small Solitons and Multi-Solitons in Generalized Davey-Stewartson System},
author = {Mengxue Bai and Jian Zhang and Shihui Zhu},
journal= {arXiv preprint arXiv:2201.10195},
year = {2022}
}