Format

Send to

Choose Destination
Sci Rep. 2017 Apr 13;7(1):869. doi: 10.1038/s41598-017-00844-y.

Alice-Bob Physics: Coherent Solutions of Nonlocal KdV Systems.

Lou SY1,2, Huang F3,4.

Author information

1
Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai, 200062, China. lousenyue@nbu.edu.cn.
2
Ningbo Collabrative Innovation Center of Nonlinear Harzard System of Ocean and Atmosphere and Faculty of Science, Ningbo University, Ningbo, 315211, China. lousenyue@nbu.edu.cn.
3
Physical Oceanography Laboratory, Department of Marine Meteorology, Ocean University of China, Qingdao, 266100, China.
4
Ningbo Collabrative Innovation Center of Nonlinear Harzard System of Ocean and Atmosphere and Faculty of Science, Ningbo University, Ningbo, 315211, China.

Abstract

In natural and social science, many events happened at different space-times may be closely correlated. Two events, A (Alice) and B (Bob) are defined correlated if one event is determined by another, say, [Formula: see text] for suitable [Formula: see text] operators. Taking KdV and coupled KdV systems as examples, we can find some types of models (AB-KdV systems) to exhibit the existence on the correlated solutions linked with two events. The idea of this report is valid not only for physical problems related to KdV systems but also for problems described by arbitrary continuous or discrete models. The parity and time reversal symmetries are extended to shifted parity and delayed time reversal. The new symmetries are found to be useful not only to establish AB-systems but also to find group invariant solutions of numerous AB-systems. A new elegant form of the N-soliton solutions of the KdV equation and then the AB-KdV systems is obtained. A concrete AB-KdV system derived from the nonlinear inviscid dissipative and barotropic vorticity equation in a β-plane channel is applied to the two correlated monople blocking events which is responsible for the snow disaster in the winter of 2007/2008 happened in Southern China.

Supplemental Content

Full text links

Icon for Nature Publishing Group Icon for PubMed Central
Loading ...
Support Center