Local Structure of Singular Profiles for a Derivative Nonlinear Schrödinger Equation

DOI10.1137/16M1060339zbMath1434.35177arXiv1602.02381OpenAlexW2963643067MaRDI QIDQ2967814

Gideon Simpson, Yuri Cher, Catherine Sulem

Publication date: 2 March 2017

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.02381

zbMATH Keywords

boundary value problemsderivative nonlinear Schrödinger equationblowing-up solutions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Magnetohydrodynamics and electrohydrodynamics (76W05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Blow-up in context of PDEs (35B44)

Related Items

Small data well-posedness for derivative nonlinear Schrödinger equations ⋮ Optimal small data scattering for the generalized derivative nonlinear Schrödinger equations ⋮ Stability of the sum of two solitary waves for (gDNLS) in the energy space ⋮ Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case ⋮ Global well-posedness of the derivative nonlinear Schrödinger equation with periodic boundary condition in \(H^{\frac{1}{2}}\) ⋮ Self-similar solutions to the derivative nonlinear Schrödinger equation ⋮ Long-period limit of exact periodic traveling wave solutions for the derivative nonlinear Schrödinger equation

Uses Software

• PETSc

Cites Work

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