Small Solitons and Multi-Solitons in Generalized Davey-Stewartson System
Mengxue Bai, Jian Zhang, Shihui Zhu
TL;DR
This paper investigates the existence, stability, and construction of small and multi-solitons in a generalized two-dimensional Davey-Stewartson system, using variational methods and spectrum analysis.
Contribution
It introduces new methods for proving small soliton stability and constructs multi-solitons with different speeds in the generalized system.
Findings
Existence of small solitons established.
Stability of small solitons proved.
Multi-solitons with different speeds constructed.
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.
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Advanced Mathematical Physics Problems