2019/11/07 by Xin Wu, Wu, Xin, Shou‐Fu Tian +3
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.1911.02885
openalex publication_date 2019/11/07 · openalex created_date 2019/11/22 · openalex updated_date 2026/07/28
In this work, we consider an integrable three-component coupled Hirota (tcCH) equations in detail via the Riemann-Hilbert (RH) approach. We present some properties of the spectral problems of the tcCH equations with 4×4 the Lax pair. Moreover, the RH problem of the equations is established via analyzing the analyticity of the spectrum problem. By studying the symmetry of the spectral problem, we get the spatiotemporal evolution of scattering data. Finally, the N-soliton solution is derived by solving the RH problem with reflectionless case. According to the resulting N-soliton solution, the influences of each parameters on collision dynamic behaviors between solitons are discussed, and the method of how to control the interactions are suggested by some graphic analysis. In addition, some new phenomenon for soliton collision is presented including localized structures and dynamic behaviors of one- and two- soliton solutions, which can help enrich the nonlinear dynamics of the N-component nonlinear Schrödinger type equations.