The stability of degenerate solitons for derivative nonlinear Schrödinger equations

Stability in context of PDEs (35B35) Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

Stability of solitary waves for a generalized derivative nonlinear Schrödinger equation
Global well-posedness on the derivative nonlinear Schrödinger equation
Instability of solitary wave solutions for derivative nonlinear Schrödinger equation in endpoint case
Stable standing waves of nonlinear Klein-Gordon equations
Stability of solitary waves for derivative nonlinear Schrödinger equation
Orbital stability of solitary waves for derivative nonlinear Schrödinger equation
The derivative NLS equation: global existence with solitons
Orbital stability of solitary waves for generalized derivative nonlinear Schrödinger equations in the endpoint case
Orbital stability of solitary waves for the nonlinear derivative Schrödinger equation
Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case
Potential well theory for the derivative nonlinear Schrödinger equation
Stability of algebraic solitons for nonlinear Schrödinger equations of derivative type: variational approach
Instability of degenerate solitons for nonlinear Schrödinger equations with derivative
Global well-posedness for the derivative nonlinear Schrödinger equation
Instability of the solitary wave solutions for the generalized derivative nonlinear Schrödinger equation in the critical frequency case
Global existence for the derivative nonlinear Schrödinger equation with arbitrary spectral singularities
A sufficient condition for global existence of solutions to a generalized derivative nonlinear Schrödinger equation
The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation
Global well-posedness for the nonlinear Schrödinger equation with derivative in energy space
Instability of the solitary waves for the generalized derivative nonlinear Schrödinger equation in the degenerate case
Existence of blow-up solutions in the energy space for the critical generalized KdV equation
Modified nonlinear Schrödinger equation for Alfvén waves propagating along the magnetic field in cold plasmas
An exact solution for a derivative nonlinear Schrödinger equation
Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
On the nonlinear Schrodinger equations of derivative type
Instability of solitary waves for nonlinear Schr\"odinger equations of derivative type
Instability of solitons for the critical generalized Korteweg-de Vries equation
On the well-posedness problem for the derivative nonlinear Schrödinger equation

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