There's an empty hole deep inside that was never tended to, healed, or self sourced.
(Let's call it higher Self, Source, Universe, you can deem it whatever you want; the intelligence we're connected to which is bigger than us).
Hence, they could at least be conceptually recognized – despite being structurally unrelated – as innate counterparts to Major Histocompatibility Complex (MHC) molecules – equally recognizing antigenic ligands (albeit structurally more homogeneous i.e., peptides), again derived from self and/or non-self sources – preeminent this time in adaptive immunity.
Oil shale, shale oil, shale gas, and CBM are accumulated in mudstones, shales, and coal beds, characterized by "self-source and self-reservoir" (Fig. 9).
Now we show that the modified two-dimensional Toda lattice has a continuum limit into the mKP equation [2, 31], and the modified two-dimensional Toda lattice with self-consistent sources (8, 33, 36 - 37) yields the mKP equation with self-consistent sources derived in [32] through a continuum limit.
For this purpose, we derive another form of the modified two-dimensional Toda lattice with self-consistent sources which is the Bäcklund transformation for the two-dimensional Toda lattice with self-consistent sources given in [25].
We also construct another form of the modified discrete KP equation with self-consistent sources (110 - 115) which is the Bäcklund transformation for the two-dimensional Toda lattice with self-consistent sources derived in [25].
Source awareness is really self-awareness, in the truest sense, since ultimately there is no separation between self and source.
The soliton equations with self-consistent sources can model a lot of important physical processes.
As the development of smart electronics, self-powered sources have been attracting increasing attention.
For example, the KdV equation with self-consistent sources describes the interaction of long and short capillary-gravity waves [4].
