Аннотации:
Nonlinear dispersionless equations can be obtained as dispersionless limits
(quasiclassical limits) of integrable hierarchies of equations or by constructing a system of
hydrodynamic type. In this paper, the dispersionless limit of the (1+1)-dimensional FokasLenells equation is found. We present Lax pair for this dispersionless equation. As well known,
the Fokas-Lenells equation characterizes the propagation of ultrashort nonlinear light pulses in
optical fibers. Exact solutions of the dispersionless version of the Fokas-Lenells equation describe
nonlinear shock waves in optical fiber systems. By using the obtained results, one can find shock
wave solutions of the dispersionless equation, which have different physical applications.
