Dbar-dressing method for the Gerdjikov–Ivanov equation with nonzero boundary conditions

2021 ◽  
Vol 120 ◽  
pp. 107297
Author(s):  
Jinghua Luo ◽  
Engui Fan
Keyword(s):  
Boundary Conditions ◽  
Dressing Method ◽  
Nonzero Boundary

The focusing Manakov system with nonzero boundary conditions

Nonlinearity ◽  
2015 ◽  
Vol 28 (9) ◽  
pp. 3101-3151 ◽  
Author(s):  
Daniel Kraus ◽  
Gino Biondini ◽  
Gregor Kovačič
Keyword(s):  
Boundary Conditions ◽  
Nonzero Boundary

N-soliton solution for a higher-order Chen–Lee–Liu equation with nonzero boundary conditions

2019 ◽  
Vol 34 (04) ◽  
pp. 2050054 ◽  
Author(s):  
Yi Zhao ◽  
Engui Fan
Keyword(s):  
Boundary Conditions ◽  
Soliton Solution ◽  
Hilbert Problem ◽  
Asymptotic Properties ◽  
Soliton Solutions ◽  
Higher Order ◽  
Third Order ◽  
Third Order Dispersion ◽  
Nonzero Boundary ◽  
Riemann Hilbert Problem

In this paper, the Riemann–Hilbert approach is applied to investigate a higher-order Chen–Lee–Liu equation with third-order dispersion and quintic nonlinearity terms. Based on the analytical, symmetric and asymptotic properties of eigenfunctions, a generalized Riemann–Hilbert problem associated with Chen–Lee–Liu equation with nonzero boundary conditions is constructed. Further, the [Formula: see text]-soliton solution is found by solving the generalized Riemann–Hilbert problem. As an illustrative example, two kinds of one-soliton solutions with different forms of parameters are obtained.

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