Integration of a non-linear Hirota type equation with additional terms
А. Б. ХасановV. I. Romanovskiy Institute of Mathematics of the Academy of Sciences of Uzbekistan, TashkentRaykhonbek Khubaydullo ugli EshbekovSamarkand State UniversityTemur Gafurjonovich HasanovUrgench State University named after Al-Khorezmi
Ochiq kirishBronza
ABI
Annotatsiya
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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