From the Klein-Gordon-Zakharov system to a singular nonlinear Schrödinger system
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Publication:987709
DOI10.1016/j.anihpc.2010.02.002zbMath1197.35244OpenAlexW2083639048MaRDI QIDQ987709
Kenji Nakanishi, Nader Masmoudi
Publication date: 13 August 2010
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.anihpc.2010.02.002
KdV equations (Korteweg-de Vries equations) (35Q53) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Theoretical approximation in context of PDEs (35A35)
Related Items (16)
A uniformly first-order accurate method for Klein-Gordon-Zakharov system in simultaneous high-plasma-frequency and subsonic limit regime ⋮ Topological soliton solution and bifurcation analysis of the Klein-Gordon-Zakharov equation in \((1 + 1)\)-dimensions with power law nonlinearity ⋮ Well-posedness for the Cauchy problem of the Klein-Gordon-Zakharov system in four and more spatial dimensions ⋮ Optimal convergence rate and regularity of nonrelativistic limit for the nonlinear pseudo-relativistic equations ⋮ Dynamics of the nonlinear Klein-Gordon equation in the nonrelativistic limit ⋮ Analysis of two conservative fourth-order compact finite difference schemes for the Klein-Gordon-Zakharov system in the subsonic limit regime ⋮ Optimal number of solutions for nonlinear coupled Schrödinger systems. I: Synchronized case ⋮ Uniform error bounds of a finite difference method for the Klein-Gordon-Zakharov system in the subsonic limit regime ⋮ The fourth-order nonlinear Schrödinger limit for quantum Zakharov system ⋮ A uniformly and optimally accurate multiscale time integrator method for the Klein-Gordon-Zakharov system in the subsonic limit regime ⋮ An implicit semi-linear discretization of a bi-fractional Klein-Gordon-Zakharov system which conserves the total energy ⋮ On the decay problem for the Zakharov and Klein-Gordon-Zakharov systems in one dimension ⋮ Multifrequency NLS Scaling for a Model Equation of Gravity-Capillary Waves ⋮ Uniformly accurate integrators for Klein-Gordon-Schrödinger systems from the classical to non-relativistic limit regime ⋮ From the Klein–Gordon–Zakharov system to the Klein–Gordon equation ⋮ Global Dynamics below the Ground State Energy for the Klein-Gordon-Zakharov System in the 3D Radial Case
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