On solutions with compact spectrum to nonlinear Klein--Gordon and Schroedinger equations
Analysis of PDEs
2021-09-07 v1 Mathematical Physics
math.MP
Abstract
We consider finite energy solutions to the nonlinear Schroedinger equation and nonlinear Klein--Gordon equation and find the condition on the nonlinearity so that the standard, one-frequency solitary waves are the only solutions with compact spectrum. We also construct an example of a four-frequency solitary wave solution to the nonlinear Dirac equation in three dimensions.
Cite
@article{arxiv.2109.02187,
title = {On solutions with compact spectrum to nonlinear Klein--Gordon and Schroedinger equations},
author = {Andrew Comech},
journal= {arXiv preprint arXiv:2109.02187},
year = {2021}
}
Comments
14 pages. arXiv admin note: text overlap with arXiv:1810.09047