New traveling wave exact solutions to the coupled Klein–Gordon system of equations

Joseph, Subin P.

doi:10.1016/j.padiff.2021.100208

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Klein-gordon Equation1

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2022

2024

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Cited by 8 publications

(1 citation statement)

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“…There are some crucial features enmeshing the Klein-Gordon (KG) equation [19,20] that we will quickly summarize before we delve further into this topic. And give the reason(s) for its use in this paper.…”

Section: Klein-gordon Equationmentioning

confidence: 99%

Free Fractional Gauge Fields: An Elementary Model Based on the Standard Model (SM)

Eastmond

2024

Preprint

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We study the Lagrangian density for freely propagating gauge fields on the basis of the Stan- dard Model (SM); namely its fractional counterpart. From this, we attain some free fractional Klein- Gordon equations, associated with the electromagnetic, weak, and strong forces. In addition to that, we verify that the Lagrange density is gauge invariant by virtue of the fractional Hessian condition. Also, using the fractional energy density we establish the fractional continuity equation for the freely propa- gating gauge bosons. And finally, a fractional analog of the Riemann-Silberstein vector and its equation is presented. Hence, we formulate fractional analogs of the Riemann-Silberstein and gravitoelectro- magnetic equations, which are compared to the fractional Maxwell’s equations.

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Section: Klein-gordon Equationmentioning

confidence: 99%