Integration of the negative order Korteweg-de Vries equation with a self-consistent source in the class of periodic functions

GU Urazboev, MM Khasanov - Vestnik Udmurtskogo Universiteta …, 2022 - mathnet.ru
GU Urazboev, MM Hasanov, “Integration of the negative order Korteweg-de Vries equation with
a self-consistent source in the class of periodic functions”, Vestn. Udmurtsk. Univ. Mat. Mekh …

Integrating the modified Korteweg–de Vries–sine-Gordon equation in the class of periodic infinite-gap functions

AB Khasanov, KN Normurodov… - … and Mathematical Physics, 2023 - Springer
The inverse spectral problem method is used to integrate the nonlinear modified Korteweg–
de Vries–sine-Gordon equation in the class of periodic infinite-gap functions. The solvability …

Интегрирование уравнения Кортевега-де Фриза отрицательного порядка с самосогласованным источником в классе периодических функций

ГУ Уразбоев, ММ Хасанов - Вестник Удмуртского университета …, 2022 - mathnet.ru
В данной работе рассматривается уравнение Кортевега–де Фриза отрицательного
порядка с самосогласованным интегральным источником. Показано, что уравнение …

Integration of a defocusing nonlinear Schrödinger equation with additional terms

UB Muminov, AB Khasanov - Theoretical and Mathematical Physics, 2022 - Springer
The inverse spectral problem method is used to integrate the nonlinear Schrödinger
equation with some additional terms in the class of infinite-gap periodic functions. We reveal …

Integration of a nonlinear sine-Gordon–Liouville-type equation in the class of periodic infinite-gap functions

AB Khasanov, KN Normurodov… - Ukrainian Mathematical …, 2024 - Springer
The method of inverse spectral problem is used to integrate a nonlinear sine-Gordon–
Liouville-type equation in the class of periodic infinite-gap functions. The evolution of the …

Integration of a Nonlinear Hirota Type Equation with Finite Density in the Class of Periodic Functions

A Khasanov, R Eshbekov, K Normurodov - Lobachevskii Journal of …, 2023 - Springer
In this paper, the inverse spectral problem method is used to integrate a nonlinear Hirota-
type equation with a finite density in the class of periodic functions. The evolution of the …

The cauchy problem for the nonlinear complex modified Korteweg-de Vries equation with additional terms in the class of periodic infinite-gap functions

AB Khasanov, TG Khasanov - Siberian Mathematical Journal, 2024 - Springer
We use the inverse spectral problem method for integrating the nonlinear complex modified
Korteweg-de Vries equation (cmKdV) with additional terms in the class of periodic infinite …

Integration of the modified Korteweg–de Vries–Liouville equation in the class of periodic infinite-gap functions

AB Khasanov, UO Khudayorov - Mathematical Notes, 2023 - Springer
In this paper, the inverse spectral problem method is used to integrate the nonlinear mKdV–
L equation in the class of periodic infinite-gap functions. The solvability of the Cauchy …

Cauchy Problem for the Nonlinear Liouville Equation in the Class of Periodic Infinite-Gap Functions

AB Khasanov, KN Normurodov, UO Khudayorov - Differential Equations, 2023 - Springer
The inverse spectral problem method is used to integrate the nonlinear Liouville equation in
the class of periodic infinite-gap functions. The evolution of the spectral data of the periodic …

Integration of the Kaup–Boussinesq system with time-dependent coefficients

BA Babajanov, AS Azamatov, RB Atajanova - … and Mathematical Physics, 2023 - Springer
Abstract We consider the Kaup–Boussinesq system with time-dependent coefficients. We
show that the Kaup–Boussinesq system with an additional term is also an important …