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math.AP2016★ 17 cited
Stability of multi-solitons for the derivative nonlinear Schr{ö}dinger equation
Stefan Le Coz, Yifei Wu
The nonlinear Schr{ö}dinger equation with derivative cubic nonlinearity admits a family of solitons, which are orbitally stable in the energy space. In this work, we prove the orbi…
math.AP2016
Stability of periodic waves of 1D cubic nonlinear Schr{ö}dinger equations
Stephen Gustafson, Stefan Le Coz, Tai-Peng Tsai
We study the stability of the cnoidal, dnoidal and snoidal elliptic functions as spatially-periodic standing wave solutions of the 1D cubic nonlinear Schr{ö}dinger equations. First…