Stability of small periodic waves for the nonlinear Schrödinger equation

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

The stability of solitary waves

T. Brooke Benjamin · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1972 · 726 citations