Small solitons and multisolitons in the generalized Davey-Stewartson system

By introducing and solving a new cross-constrained variational problem, a one-to-one correspondence from the prescribed mass to frequency of soliton is established for the generalized Davey-Stewartson system in two-dimensional space. Orbital stability of small soiltons depending on frequencies is pr...

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Bibliographic Details
Published in:Advances in Nonlinear Analysis
Main Authors: Bai Mengxue, Zhang Jian, Zhu Shihui
Format: Article
Language:English
Published: De Gruyter 2022-10-01
Subjects:
davey-stewartson system
variational method
spectrum analysis
stability of solitons
soliton resolution
35q35
76w05
35b65
Online Access:https://doi.org/10.1515/anona-2022-0266
Description
Summary:By introducing and solving a new cross-constrained variational problem, a one-to-one correspondence from the prescribed mass to frequency of soliton is established for the generalized Davey-Stewartson system in two-dimensional space. Orbital stability of small soiltons depending on frequencies is proved. Multisolitons with different speeds are constructed by stable small solitons.
ISSN:2191-950X

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