A numerical method for finding spherically symmetric pseudobreathers of a nonlinear wave equation is presented. The algorithm, based on pseudospectral methods, is applied to find quasi-periodic solutions with force terms being continuous approximations of the signum function. The obtained pseudobreathers slowly radiate energy and decay after some (usually long) time depending on the period that characterizes (unambiguously) the initial configuration.
Numerical Determination of Pseudobreathers of a Three-Dimensional Spherically Symmetric Wave Equation
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received November 4, 2015; final manuscript received October 20, 2016; published online December 5, 2016. Assoc. Editor: Firdaus Udwadia.
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Karkowski, J. (December 5, 2016). "Numerical Determination of Pseudobreathers of a Three-Dimensional Spherically Symmetric Wave Equation." ASME. J. Comput. Nonlinear Dynam. May 2017; 12(3): 031004. https://doi.org/10.1115/1.4035193
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