Stability of solitary waves for coupled nonlinear schrödinger equations

Nonlinear Schr�dinger equations and sharp interpolation estimates

Michael I. Weinstein · Communications in Mathematical Physics · 1983 · 1.4K citations

Numerical Analysis, Interpolation Space, Nonlinear Schr�dinger Equations +2

Stability theory of solitary waves in the presence of symmetry, II

Manoussos G. Grillakis, Jalal Shatah, Walter A. Strauss · Journal of Functional Analysis · 1990 · 1.3K citations

Engineering, Solitary Waves, Physics +6

Stability theory of solitary waves in the presence of symmetry, I

Manoussos G. Grillakis, Jalal Shatah, Walter A. Strauss · Journal of Functional Analysis · 1987 · 1K citations

Engineering, Solitary Waves, Physics +7

Orbital stability of standing waves for some nonlinear Schr�dinger equations

Thierry Cazenave, Pierre‐Louis Lions · Communications in Mathematical Physics · 1982 · 1K citations

Physics, Nonlinear Wave Propagation, Nonlinear Schr�dinger Equations +5

Lyapunov stability of ground states of nonlinear dispersive evolution equations

Michael I. Weinstein · Communications on Pure and Applied Mathematics · 1986 · 859 citations

Nonlinear Wave Propagation, Evolution Equation, Nonlinear Hyperbolic Problem +4