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On solutions with compact spectrum to nonlinear Klein--Gordon and Schroedinger equations (2109.02187v1)
Published 5 Sep 2021 in math.AP, math-ph, and 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.
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