Abstract:It is known that the varible coefficients Hirota equations have been widely studied in the propagating pulses amplificat or absorpt and the yield of supercontinuum in inhomogeneous optical fibers. In this paper, a new generalized case is considered, i.e.
iut + α(t)uxx + i β(t)uxxx + 3iβ(t)γ|u|2ux + α(t)γ|u|2u + δ(t)u = 0 ,
where i = √ −1 indicates the imaginary unit and u is a complex function with the variables (t, x). In particular, for α, β, γ are all constants, δ = 0, the classical Hirota equation will be r… Show more
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