N-soliton solutions for the coupled extended modified KdV equations via Riemann–Hilbert approach

Wu, Fan; Huang, Lin

doi:10.1016/j.aml.2022.108390

Applied Mathematics Letters

2022

DOI: 10.1016/j.aml.2022.108390

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N-soliton solutions for the coupled extended modified KdV equations via Riemann–Hilbert approach

Fan Wu

Lin Huang

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Cited by 12 publications

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The soliton solutions for the higher‐order nonlinear Schrödinger equation with nonzero boundary conditions: Riemann–Hilbert method

Wang,

Huang

2024

Math Methods in App Sciences

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This paper explores the Riemann–Hilbert method for deriving exact N‐soliton solutions of the sixth‐order nonlinear Schrödinger (6th‐NLS) equation with nonzero boundary condition. The analytical process comprises three fundamental steps. First, transformations are used to simplify the nonzero boundaries. Next, the inverse scattering method establishes a crucial link between the solutions of the 6th‐NLS equation and the corresponding Riemann–Hilbert problem. Finally, this Riemann–Hilbert problem is systematically solved. Additionally, selected parameter values in the solutions generate graphical representations, vividly illustrating the solutions to the 6th‐NLS equation.

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The soliton solutions for the higher‐order nonlinear Schrödinger equation with nonzero boundary conditions: Riemann–Hilbert method

Wang,

Huang

2024

Math Methods in App Sciences

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The optical solitons for the three-component Dirac–Manakov system via the Darboux transformation

Zhao,

Huang

2024

Opt Quant Electron

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Report on an extended three-coupled Korteweg-de Vries system

et al. 2023

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N-soliton solutions for the coupled extended modified KdV equations via Riemann–Hilbert approach

Cited by 12 publications

References 12 publications

The soliton solutions for the higher‐order nonlinear Schrödinger equation with nonzero boundary conditions: Riemann–Hilbert method

The soliton solutions for the higher‐order nonlinear Schrödinger equation with nonzero boundary conditions: Riemann–Hilbert method

The optical solitons for the three-component Dirac–Manakov system via the Darboux transformation

Report on an extended three-coupled Korteweg-de Vries system

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