FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1996, VOLUME 2, NUMBER 4, PAGES 1247-1255

The solvability of some exactly solvable soliton-like equations in terms of hypergeometric functions

V. F. Tarasov

Abstract

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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.

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