The ∂¯-dressing method applied to nonlinear defocusing Hirota equation with nonzero boundary conditions

The ∂¯-dressing method applied to nonlinear defocusing Hirota equation with nonzero boundary conditions

We study the defocusing Hirota equation with nonzero boundary condition by using the ∂ ¯ -dressing method. The ∂ ¯ -problem with non-canonical normalization conditions is introduced. The Lax pair of the defocusing Hirota equation with nonzero boundary condition is derived from an asymptotic expansio...

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Veröffentlicht in:Nonlinear dynamics 2023-02, Vol.111 (4), p.3689-3700
Hauptverfasser: Huang, Yehui, Di, Jingjing, Yao, Yuqin
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Asymptotic methods
Asymptotic series
Automotive Engineering
Behavior
Boundary conditions
Classical Mechanics
Control
Defocusing
Dynamical Systems
Engineering
Mechanical Engineering
Optics
Original Paper
Solitary waves
Vibration
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Zusammenfassung:We study the defocusing Hirota equation with nonzero boundary condition by using the ∂ ¯ -dressing method. The ∂ ¯ -problem with non-canonical normalization conditions is introduced. The Lax pair of the defocusing Hirota equation with nonzero boundary condition is derived from an asymptotic expansion method. The N-soliton solutions are constructed under the selected special spectral transformation matrix, and the dynamic behavior of soliton solutions isanalyzed.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-022-08004-2