Numerical Determination of Pseudobreathers of a Three-Dimensional Spherically Symmetric Wave Equation

2016 ◽  
Vol 12 (3) ◽  
Author(s):  
Janusz Karkowski
Keyword(s):  
Wave Equation ◽  
Three Dimensional ◽  
Spherically Symmetric ◽  
Numerical Determination ◽  
Pseudospectral Methods ◽  
Symmetric Wave ◽  
Long Time ◽  
Signum Function ◽  
Continuous Approximations

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.

scholarly journals Solutions of the spherically symmetric wave equation in p+q dimensions

1995 ◽  
Vol 36 (1) ◽  
pp. 383-397
Author(s):  
W. Bietenholz ◽  
J. J. Giambiagi
Keyword(s):  
Wave Equation ◽  
Spherically Symmetric ◽  
Symmetric Wave

scholarly journals RNA 3D Structure Prediction Using Coarse-Grained Models

2021 ◽  
Vol 8 ◽  
Author(s):  
Jun Li ◽  
Shi-Jie Chen
Keyword(s):  
Structure Prediction ◽  
3D Structure ◽  
Three Dimensional ◽  
Coarse Grained ◽  
Biological Functions ◽  
3D Structures ◽  
Rna Molecules ◽  
Atomic Structures ◽  
Long Time

The three-dimensional (3D) structures of Ribonucleic acid (RNA) molecules are essential to understanding their various and important biological functions. However, experimental determination of the atomic structures is laborious and technically difficult. The large gap between the number of sequences and the experimentally determined structures enables the thriving development of computational approaches to modeling RNAs. However, computational methods based on all-atom simulations are intractable for large RNA systems, which demand long time simulations. Facing such a challenge, many coarse-grained (CG) models have been developed. Here, we provide a review of CG models for modeling RNA 3D structures, compare the performance of the different models, and offer insights into potential future developments.

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