Linear stability of multiple dark solitary wave solutions of a nonlocal nonlinear Schrödinger equation for envelope waves

DOI10.1016/S0375-9601(01)00363-2zbMath0969.35550MaRDI QIDQ5937749

Yoshimasa Matsuno

Publication date: 15 July 2001

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

inverse scattering transformlinear eigenvalue problemsquared eigenfunction completeness relation

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) NLS equations (nonlinear Schrödinger equations) (35Q55) Solitary waves in solid mechanics (74J35)

Related Items

Well-posedness for the nonlocal nonlinear Schrödinger equation, Dark soliton generation for the intermediate nonlinear Schrödinger equation, Multiphase solutions and their reductions for a nonlocal nonlinear Schrödinger equation with focusing nonlinearity, Local well-posedness for the nonlocal derivative nonlinear Schrödinger equation in Besov spaces, Asymptotic solutions of the nonlocal nonlinear Schrödinger equation in the limit of small dispersion

Cites Work

• Unnamed Item
• The focusing nonlinear Schrödinger equation: Effect of the coupling to a low frequency field
• Eigenfunctions and eigenvalues for a scalar Riemann-Hilbert problem associated to inverse scattering
• Non local Models for Envelope Waves in a Stratified Fluid
• A Modern Introduction to the Mathematical Theory of Water Waves
• Initial value problem of the linearized Benjamin–Ono equation and its applications
• Bifurcations of new eigenvalues for the Benjamin–Ono equation
• A spectral transform for the intermediate nonlinear Schrödinger equation