DOI: 10.1063/1.1704233 ISSN:
Comments on Nonlinear Wave Equations as Models for Elementary Particles
G. H. Derrick- Mathematical Physics
- Statistical and Nonlinear Physics
It is shown that for a wide class of nonlinear wave equations there exist no stable time-independent solutions of finite energy. The possibility is considered whether elementary particles might be oscillating solutions of some nonlinear wave equation, in which the wavefunction is periodic in the time though the energy remains localized.