Stability of stationary states for the coupled Klein — Gordon — Schrödinger equations
From MaRDI portal
Publication:4883610
DOI10.1016/0362-546X(95)00017-PzbMath0867.35092OpenAlexW2009836214MaRDI QIDQ4883610
Publication date: 4 August 1997
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0362-546x(95)00017-p
Stability in context of PDEs (35B35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items
A novel kind of efficient symplectic scheme for Klein-Gordon-Schrödinger equation, A series of new explicit exact solutions for the coupled Klein-Gordon-Schrödinger equations, On exact solutions of the coupled Klein--Gordon--Schrödinger and the complex coupled KdV equations using mapping method, Blowup results for the KGS system with higher order Yukawa coupling, Unconditional and optimal \(H^2\)-error estimates of two linear and conservative finite difference schemes for the Klein-Gordon-Schrödinger equation in high dimensions, Stability of standing waves for the Klein-Gordon-Schrödinger system, Efficient and accurate numerical methods for the Klein-Gordon-Schrödinger equations, Superconvergence results for nonlinear Klein-Gordon-Schrödinger equation with backward differential formula finite element method, High-order conservative energy quadratization schemes for the Klein-Gordon-Schrödinger equation, Exponential decay for the coupled Klein-Gordon-Schrödinger equations with locally distributed damping, Existence of bound states for the coupled Schrödinger-KdV system with cubic nonlinearity, High-order Lagrange multiplier method for the coupled Klein-Gordon-Schrödinger system, Conservative Fourier spectral scheme for higher order Klein-Gordon-Schrödinger equations, An efficient conservative difference scheme for fractional Klein-Gordon-Schrödinger equations, Improved uniform error bounds of a time-splitting Fourier pseudo-spectral scheme for the Klein-Gordon-Schrödinger equation with the small coupling constant, Asymptotic behavior of the coupled Klein–Gordon–Schrödinger systems on compact manifolds, Klein-Gordon-Schrödinger system: Dinucleon field, A novel approach of unconditional optimal error estimate of linearized and conservative Galerkin FEM for Klein-Gordon-Schrödinger equations, Wellposedness in energy space for the nonlinear Klein-Gordon-Schrödinger system, Point-wise errors of two conservative difference schemes for the Klein-Gordon-Schrödinger equation, Exact Solutions in the Invariant Manifolds of the Generalized Integrable Hénon–Heiles System and Exact Traveling Wave Solutions of Klein–Gordon–Schrödinger Equations, Numerical solution of the Yukawa-coupled Klein-Gordon-Schrödinger equations via a Chebyshev pseudospectral multidomain method, Existence and uniqueness of energy solution to Klein-Gordon-Schrödinger equations, Orbital instability of standing waves for the quadratic-cubic Klein-Gordon-Schrödinger system, Analysis of a Fourier pseudo-spectral conservative scheme for the Klein–Gordon–Schrödinger equation, Numerical simulation of interaction between Schrödinger field and Klein-Gordon field by multisymplectic method, Orbital instability of standing waves for the Klein-Gordon-Schrödinger system with quadratic-cubic nonlinearity, Analysis of a conservative high-order compact finite difference scheme for the Klein-Gordon-Schrödinger equation, High-order linear compact conservative method for the nonlinear Schrödinger equation coupled with the nonlinear Klein-Gordon equation, Two numerical meshless techniques based on radial basis functions (RBFs) and the method of generalized moving least squares (GMLS) for simulation of coupled Klein-Gordon-Schrödinger (KGS) equations, Generalized solitary wave solutions for the Klein-Gordon-Schrödinger equations, Convergence of a conservative difference scheme for a class of Klein-Gordon-Schrödinger equations in one space dimension, Optimal point-wise error estimate of a compact difference scheme for the Klein-Gordon-Schrödinger equation, Unconditional optimal error estimates of linearized, decoupled and conservative Galerkin FEMs for the Klein-Gordon-Schrödinger equation, Optimal error estimate of a linear Fourier pseudo-spectral scheme for two dimensional Klein-Gordon-Schrödinger equations, New energy-preserving schemes for Klein-Gordon-Schrödinger equations, Unconditional superconvergence analysis of the conservative linearized Galerkin FEMs for nonlinear Klein-Gordon-Schrödinger equation, Existence of Minimizers for Some Coupled Nonlinear Schrödinger Equations, Well posedness for the nonlinear Klein–Gordon–Schrödinger equations with heterointeractions, The exact solitary wave solutions for the Klein-Gordon-Schrödinger equations, Conservative Fourier pseudo-spectral schemes for general Klein–Gordon–Schrödinger equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear Schrödinger equations and sharp interpolation estimates
- Stable standing waves of nonlinear Klein-Gordon equations
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Stability theory of solitary waves in the presence of symmetry. II
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- Problème de Cauchy pour des systèmes hyperboliques semi-linéaires
- Instability of nonlinear bound states
- Stability theory of solitary waves in the presence of symmetry. I
- On the global strong solutions of coupled Klein-Gordon-Schrödinger equations
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- Nonlinear scattering theory at low energy: Sequel
- On coupled Klein-Gordon-Schrödinger equations. II
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- Unstable Ground State of Nonlinear Klein-Gordon Equations