English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Klein-Gordon equations describe the dynamics of waves/particles in sub-atomicscales. For a system of nonlinear Klein-Gordon equations, a systematic analysisof the time evolution for their spatially uniform solutions has been performed\cite{21takei}. In the study, the parameters (mass, wave propagation speed, andthe force parameters) are chosen to be symmetric between the two singleequations. Symmetric parameter settings are equivalent to assume theinteracting two same particles. In this paper, for a system of nonlinearKlein-Gordon equations with asymmetric parameter settings, the time evolutionfor their spatially uniform solutions are studied. This is equivalent to assumethe interacting two different particles. As a result, based on the highprecision numerical scheme \cite{22takei}, the existence of divergent andbounded solutions that depend on parameter settings is revealed. Thecompetition, coherence, and decoherence of different waves are shown to appeardepending on the choice of asymmetrically-implemented parameter values.

Static analysis for coupled nonlinear Klein-Gordon equations with asymmetric parameter settings