Instability of the solitary wave solutions for the generalized derivative nonlinear Schrödinger equation in the endpoint case

2018/04/08 by Bing Li, Li, Bing, Cui Ning +1
Mathematics · Physics and Astronomy · #35B35 #35L70 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1804.02738

openalex publication_date 2018/04/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the stability theory of solitary wave solutions for the generalized derivative nonlinear Schrödinger equation i∂_tu+∂_x²u+i|u|^2σ∂_x u=0, where 1

Citations

• On the modulational instability of hydromagnetic waves parallel to the magnetic field
• Orbital stability of solitary waves for derivative nonlinear Schrödinger equation
• Instability of the solitary wave solutions for the genenalized derivative Nonlinear Schrödinger equation in the critical frequency case

Related

• Instability of the solitary wave solutions for the genenalized derivative Nonlinear Schrödinger equation in the critical frequency case
• Stability of Solitary Waves for a Generalized Derivative Nonlinear Schrödinger Equation
• Global asymptotic behavior of solutions to the generalized derivative nonlinear Schrödinger equation
• Instability of Standing Waves to the Inhomogeneous Nonlinear Schrödinger Equation with Harmonic Potential
• The stability of degenerate solitons for derivative nonlinear Schrodinger equations