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math.AP2025
On blowup solution in NLS equation under dispersion or nonlinearity management
Jing Li, Cui Ning, Xiaofei Zhao
In this paper, we study the dispersion-managed nonlinear Schrödinger (DM-NLS) equation and the nonline…
math.AP2018
Instability of the solitary wave solutions for the generalized derivative nonlinear Schrödinger equation in the endpoint case
Bing Li, Cui Ning
We consider the stability theory of solitary wave solutions for the generalized derivative nonlinear Schrödinger equation $$ i\partial_{t}u+\partial_{x}^{2}u+i|u|^{2σ}\partial_x u=…
math.AP2018
Instability of the solitary wave solutions for the genenalized derivative Nonlinear Schrödinger equation in the critical frequency case
Zihua Guo, Cui Ning, Yifei Wu
We study the stability theory of solitary wave solutions for the generalized derivative nonlinear Schrödinger equation $$ i\partial_{t}u+\partial_{x}^{2}u+i|u|^{2σ}\partial_x u=0.…