Thursday, August 5, 2021

Ward-Cauchy-Related Solitons -- Relative Scalar Amplitudes Of Wave-Tug

 Let us initially consider two different given arbitrary propagating Ward-Cauchy-Related solitons. Let us stipulate, under this particular type of a case scenario, that the immediately external medium, that both of these two individually taken propagating solitons is to be traveling through, are to be of the same type of a physical nature. Both of these just mentioned propagating solitons, are here to be spatially transferred, when in relation to the motion of electromagnetic energy, at the same rate of spatial translation, over a proscribed duration of time. Both of such said propagating Ward-Cauchy-Related solitons, are here to be observed "simultaneously," via the vantage-point of a central coni-axion. One of these two indicated given arbitrary respective propagating solitons, is to directly involve the exhibition, of a unitary Lagrangian-Related spatial translation, over time; Whereas, -- the other of such indicated given arbitrary respective propagating solitons, is to directly involve the exhibition, of a binary Lagrangian-Related spatial translation, over time. That stated propagating soliton, that is here to be directly working to involve the exhibition, of a binary Lagrangian-Related spatial translation, over the inferred proscribed duration of time, will generally tend to work to bear a higher scalar amplitude of wave-tug, upon the differentiable covariant physical environment that it is to be propagating through, than the other stated propagating soliton, that is here to work to be directly involving, the exhibition of a unitary Lagrangian-Related spatial translation, as this is also here to be taken, over that same proscribed duration of time. Next; Let us consider another set of two different given arbitrary propagating Ward-Cauchy-Related solitons. Both of these just mentioned propagating solitons, are here to be spatially transferred, when in relation to the motion of electromagnetic energy, at the same rate of spatial translation, over a proscribed duration of time. As similar to before; Both of such stated propagating Ward-Cauchy-Related solitons, are here to be observed "simultaneously," via the vantage-point of a  central coni-axion. One of these indicated given arbitrary respective propagating solitons, is to directly involve the exhibition, of a binary Lagrangian-Related spatial translation, over time; Whereas, -- the other of such indicated given arbitrary respective propagating solitons, is to directly involve the exhibition, of a  tertiary Lagrangian-Related spatial translation, over time. That stated propagating soliton, that is here to work to directly involve the exhibition, of a tertiary Lagrangian-Related spatial translation, over the inferred proscribed duration of time, will generally tend to work to bear a higher scalar amplitude of wave-tug, upon the differentiable covariant physical environment that it is to be propagating through, than the other stated propagating soliton, that is here to work to be involving, the exhibition of a binary Lagrangian-Related spatial translation, as taken over that same proscribed duration of time.  TO BE CONTINUED! SAMUEL. (1989).

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