Small solitons and multisolitons in the generalized Davey-Stewartson system

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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Veröffentlicht in:Advances in nonlinear analysis 2023-01, Vol.12 (1), p.1185-1188
Hauptverfasser: Bai, Mengxue, Zhang, Jian, Zhu, Shihui
Format: Artikel
Sprache:eng
Schlagworte:
35B65
35Q35
76W05
Davey-Stewartson system
soliton resolution
spectrum analysis
stability of solitons
variational method
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Beschreibung
Zusammenfassung: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
2191-950X
DOI:10.1515/anona-2022-0266