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nlin.SI2026
Coexistence of two distinct rogue wave patterns in the coupled nonlinear Schrödinger equation
Zixuan Deng, Huian Lin, Liming Ling
This paper investigates the asymptotic behavior of high-order vector rogue wave (RW) solutions of the coupled nonlinear Schrödinger (CNLS) equation in the presence of multiple larg…
nlin.SI2025
Nonlinear stability of vector multi-solitons in coupled NLS and modified KdV equations
Liming Ling, Huajie Su
We prove that the -solitons, including breathers and multi-hump solitons, of the coupled nonlinear Schrödinger (CNLS) equations are nonlinearly stable in the Sobolev space $H^{N…
nlin.SI2024
Stability analysis of breathers for coupled nonlinear Schrodinger equations
Liming Ling, Dmitry E. Pelinovsky, Huajie Su
We investigate the spectral stability of non-degenerate vector soliton solutions and the nonlinear stability of breather solutions for the coupled nonlinear Schrodinger (CNLS) equa…