4 citations · 12 across the 6 of their papers we have counts for
6 papers
Soliton solutions and traveling wave solutions for the two-dimensional generalized nonlinear Schrödinger equations
Cestmir Burdik, Gaukhar Shaikhova, Berik Rakhimzhanov
In this paper, we present the two-dimensional generalized nonlinear Schrödinger equations with the Lax pair. These equations are related to many physical phenomena in the Bose-Eins…
Coupled Dispersionless and Generalized Heisenberg Ferromagnet Equations with Self-Consistent Sources: Geometry and Equivalence
Guldana Bekova, Gulgassyl Nugmanova, Gaukhar Shaikhova +2
We propose a new integrable coupled dispersionless equation with self-consistent sources (CDESCS). We obtain the Lax pair and the equivalent generalized Heisenberg ferromagnet equa…
Integrable Flows of Curves/Surfaces, Generalized Heisenberg Ferromagnet Equation and Complex Coupled Dispersionless Equation
Guldana Bekova, Kuralay Yesmakhanova, Gaukhar Shaikhova +2
In the present paper, we study the Myrzakulov-XIII (M-XIII) equation geometrically. From the geometric point of view, we establish a link of the M-XIII equation with the motion of…
Bifurcations and stability of standing waves in the nonlinear Schrödinger equation on the tadpole graph
Diego Noja, Dmitry Pelinovsky, Gaukhar Shaikhova
We develop a detailed rigorous analysis of edge bifurcations of standing waves in the nonlinear Schrödinger (NLS) equation on a tadpole graph (a ring attached to a semi-infinite li…
The (2+1)-dimensional Hirota-Maxwell-Bloch equation: Darboux transformation and soliton solutions
Kuralay Yesmakhanova, Gaukhar Shaikhova, Kuanysh Zhussupbekov +1
The (2+1)-dimensional Hirota-Maxwell-Bloch equation (HMBE) is integrable by the Inverse Scattering Method. In this paper, we construct a Darboux transformation (DT) of the (2+1)-di…
Darboux tranformation and solutions of the (2+1)-dimensional Schrödinger-Maxwell-Bloch equation
G. Shaikhova, K. Yesmakhanova, G. Mamyrbekova +1
In this paper, we construct a Darboux transformation (DT) of the (2+1)-dimensional Schrödinger-Maxwell-Bloch equation (SMBE) which is integrable by the Inverse Scattering Method. U…