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A coupled complex mKdV equation and its N-soliton solutions via the Riemann–Hilbert approach

Xu, Siqi

Boundary value problems, 2023-08, Vol.2023 (1), p.83-12, Article 83 [Periódico revisado por pares]

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Título:
A coupled complex mKdV equation and its N-soliton solutions via the Riemann–Hilbert approach
Autor: Xu, Siqi
Assuntos: Analysis ; Approximations and Expansions ; Boundary conditions ; Boundary value problems ; Difference and Functional Equations ; Lax pair ; Mathematics ; Mathematics and Statistics ; N-soliton solutions ; Ordinary Differential Equations ; Partial Differential Equations ; Riemann–Hilbert approach ; Scattering data ; Solitary waves ; Spectrum analysis
É parte de: Boundary value problems, 2023-08, Vol.2023 (1), p.83-12, Article 83
Descrição: This paper concerns the initial value problem of a coupled complex mKdV (CCMKDV) equations u t + u x x x + 6 ( | u | 2 + | v | 2 ) u x + 6 u ( | v | 2 ) x = 0 , v t + v x x x + 6 ( | u | 2 + | v | 2 ) v x + 6 v ( | u | 2 ) x = 0 , proposed by Yang (Nonlinear Waves in Integrable and Nonintegrable Systems, 2010 ), which is associated with a 4 × 4 scattering problem. Based on matrix spectral analysis, a fourth-order matrix Riemann–Hilbert problem is formulated. By solving a specific nonregular Riemann–Hilbert problem with zeros, we present the N-soliton solutions for the CCMKDV system. Moreover, the single-soliton solutions are displayed graphically.
Editor: Cham: Springer International Publishing
Idioma: Inglês

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