Integration of a non-linear Hirota type equation with additional terms
А. Б. ХасановSamarkand State UniversityRaykhonbek Khubaydullo ugli EshbekovSamarkand State UniversityTemur Gafurjonovich HasanovUrgench State University named after Al-Khorezmi
ABI
Аннотация
In this paper, the inverse spectral problem method is used to integrate a Hirota type equation with additional terms in the class of periodic infinite-gap functions. The solvability of the Cauchy problem for an infinite system of Dubrovin differential equations in the class of six times continuously differentiable periodic infinite-gap functions is proved. It is also shown that the Cauchy problem is solvable at all times for sufficiently smooth initial conditions.
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