4 papers
Asymptotic Stability of Multi-Solitons for Coupled Nonlinear Schrödinger Equations via the -Method
Yubin Huang, Liming Ling, Huajie Su
The Riemann-Hilbert problem for the focusing coupled nonlinear Schrödinger (CNLS) equation is formulated on the basis of the corresponding matrix spectral problem. We re…
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…
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…
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…