Kadomtsev-Petviashvili hierarchies of types B and C
arXiv:2102.12850 · doi:10.1134/S0040577921070023
Abstract
This is a short review of the Kadomtsev-Petviashvili hierarchies of types B and C. The main objects are the -operator, the wave operator, the auxiliary linear problems for the wave function, the bilinear identity for the wave function and the tau-function. All of them are discussed in the paper. The connections with the usual Kadomtsev-Petviashvili hierarchy (of the type A) are clarified. Examples of soliton solutions and the dispersionless limit of the hierarchies are also considered.
arXiv comment26 pages, no figures. arXiv admin note: text overlap with arXiv:2012.04482
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