3 papers
math.AP2026
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…
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…