Since a soliton is a phenomenon of the holonomic substrate of a cotangent bundle, that is of a Complex or of a Njenhuis-related manifold -- that is: 1) To work to bear a flat Ricci Curvature.
2) To bear no net change in the absolute value of the
correlative magnitude of the index of its Beti number.
3) To bear a Fourier-related activity -- that is to work to
bear the delineation of a holomorphic vector field.;
Then, any given arbitrary example of the holonomic exhibition of a soliton -- is to act as one given arbitrary general genus of a "wave-packet" -- that is to work to bear its kinematic presence, as it is to be acting as a Ward-Cauchy-related Hamiltonian operator, as it is here to be present in the arena of time and space.
I will continue with the suspense later! To Be Continued! Sincerely, Samuel David Roach.
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