Non-degenerate high-order solitons of the coupled nonlinear Schrodinger equation

作者：Zhang, Xiaoen; Zhang, Yong^*

来源：Applied Mathematics Letters, 2023, 136: 108465.

DOI：10.1016/j.aml.2022.108465

• Non-degenerate high-order soliton
• Asymptotic analysis
• Coupled nonlinear Schr?dinger equation

In this paper, we establish the Riemann-Hilbert problem for the non-degenerate high-order solitons of the coupled nonlinear Schrodinger equation. The dynamics of these two components q1 and q2 behave quite differently. By choosing some proper parameters, one component will have a double-hump soliton but the other one will not. Especially, this kind of high-order solitons will not satisfy the scalar nonlinear Schrodinger equation under the SU(2) symmetry. Moreover, we also give the asymptotic analysis of large t for these different components and check the asymptotic solutions and the exact solutions numerically.

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