Solitary waves for nonlinear Schrödinger equation with derivative
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Publication:4563686
DOI10.1142/S0219199717500493zbMath1388.35178arXiv1702.07853OpenAlexW2592291123MaRDI QIDQ4563686
Xing Dong Tang, Gui Xiang Xu, Chang Xing Miao
Publication date: 4 June 2018
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.07853
invariant setsolitary wavesvariational methodglobal well-posednessstructure analysisderivative Schrödinger equation
Second-order nonlinear hyperbolic equations (35L70) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (6)
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 ⋮ The global well‐posedness for nonlinear Schrödinger equation with the delta potential in the energy space ⋮ Instability of the solitary waves for the generalized derivative nonlinear Schrödinger equation in the degenerate case ⋮ Stability of the traveling waves for the derivative Schrödinger equation in the energy space ⋮ Microscopic conservation laws for the derivative nonlinear Schrödinger equation
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