Abstract
Consider an abstract Hamiltonian system which is invariant under a one-parameter unitary group of operators. By a "solitary wave" we mean a solution the time development of which is given exactly by the one-parameter group. We find sharp conditions for the stability and instability of solitary waves. Applications are given to bound states and traveling waves of nonlinear PDEs such Klein-Gordon and Schrödinger equations.
Original language | English (US) |
---|---|
Pages (from-to) | 160-197 |
Number of pages | 38 |
Journal | Journal of Functional Analysis |
Volume | 74 |
Issue number | 1 |
DOIs | |
State | Published - Sep 1987 |
ASJC Scopus subject areas
- Analysis