The Akbota equation, as a Heisenberg ferromagnet-type equation, is of great value for the
study of the curve and surface geometry. Based on the J-fold Darboux transformation, some …

Integrable spin systems are an important subclass of integrable (soliton) nonlinear
equations. They play important role in physics and mathematics. At present, many integrable …

Integrable Heisenberg ferromagnetic equations are an important subclass of integrable
systems. The M-XCIX equation is one of a generalizations of the Heisenberg ferromagnetic …

The Kuralay equation, as a Heisenberg ferromagnet-type equation, is of great significance
for describing nonlinear phenomena in magnets. For the Kuralay-IIA equation, based on the …

We propose a new integrable coupled dispersionless equation with self-consistent sources
(CDESCS). We obtain the Lax pair and the equivalent generalized Heisenberg ferromagnet …

In this paper, we study integrable multilayer spin systems, namely, the multilayer M-LIII
equation. We investigate their relation with the geometric flows of interacting curves and …

In this paper we explore the new analytical soliton solutions of the truncated M-fractional
nonlinear (1+ 1)-dimensional Akbota equation by applying the exp a function technique …

Актуальность темы исследования. Одним из приоритетных направлений современной
математической физики является изучение нелинейных эволюционных уравнений …

e-mail: akbota_myrzakul@ mail. ru Об одной интегрируемой спиновой системе с потенциалом
Одним из важных частей нелинейных дифференциальных уравнений являются …