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20092026
most citedNonlinear Schrödinger Equation: Generalized Darboux Transformation and Rogue Wave Solutions

982 citations · 2.9k across the 45 of their papers we have counts for

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Showing 2013Show all

7 papers · 1 filter

nlin.PS2013★ 91 cited

Rational W-shaped Optical Soliton on Continuous Wave in Presence of Kerr Dispersion and Stimulated Raman Scattering

Li-Chen Zhao, Sheng-Chang Li, Liming Ling

We study localized wave on continuous wave background analytically in a nonlinear fiber with higher order effects such as higher order dispersion, Kerr dispersion, and stimulated i…

nlin.PS2013★ 192 cited

High-order Rogue Waves in Vector Nonlinear Schrödinger Equations

Liming Ling, Boling Guo, Li-Chen Zhao

We study on dynamics of high-order rogue wave in two-component coupled nonlinear Schrödinger equations. We find four fundamental rogue waves can emerge for second-order vector RW i…

nlin.PS2013

Pair-Tunneling Induced Localized Waves in a Vector Nonlinear Schrödinger Equation

Li-Chen Zhao, Liming Ling, Zhan-Ying Yang +1

We investigate the localized waves of the coupled two-mode nonlinear Schrödinger equations with a pair-tunneling term representing strongly interacting particles can tunnel between…

nlin.SI2013★ 11 cited

Darboux transformation and multi-dark soliton for N-component coupled nonlinear Schrödinger equations

Liming Ling, Li-Chen Zhao, Boling Guo

In this paper, we obtain a uniform Darboux transformation for multi-component coupled NLS equations, which can be reduced to all previous presented Darboux transformation. As a dir…

nlin.PS2013★ 37 cited

Temporal-Spatial Interference Pattern During Solitons Interaction

Li-Chen Zhao, Liming Ling, Zhan-Ying Yang +1

Interference patterns associated with soliton-soliton interaction are investigated in detail. We find that the temporal and spatial interference patterns exhibit quite different ch…

nlin.PS2013★ 25 cited

Novel Localized Waves in a Two-mode Nonlinear Fiber with High-order Effects

Li-Chen Zhao, Zhan-Ying Yang, liming Ling

We study on rational solutions on nonzero background of coupled Sasa-Satsuma equations through Darboux transformation method, which take into account third order dispersion, the te…