Geodesic
The solvability of some exactly solvable soliton-like equations in terms of hypergeometric functions
Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 4, pp. 1247-1255
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It is shown that some nonlinear wave evolution equations in $1+1$-dimensional space-time in the soliton theory can be solved in terms of hypergepmetric functions of ${}_pF_q$-type. Such approach allows to establish the connection between “model” equations and simple functional relations (in the form of diagrams) of these functions; the latter gives the possibility to consider a number of “inverse problems” in the soliton theory in a new way and to get new “models” of solitary waves. 
@article{FPM_1996_2_4_a20,
     author = {V. F. Tarasov},
     title = {The solvability of some exactly solvable soliton-like equations in terms of hypergeometric functions},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {1247--1255},
     year = {1996},
     volume = {2},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1996_2_4_a20/}
}
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V. F. Tarasov. The solvability of some exactly solvable soliton-like equations in terms of hypergeometric functions. Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 4, pp. 1247-1255. http://geodesic.mathdoc.fr/item/FPM_1996_2_4_a20/