On solutions with compact spectrum to nonlinear Klein--Gordon and Schroedinger equations
arXiv:2109.02187
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.
14 pages. arXiv admin note: text overlap with arXiv:1810.09047
References in corpus (4)
- Breathers in PT-symmetric optical couplers
- Global attractor for a nonlinear oscillator coupled to the Klein-Gordon field
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