4 citations · 12 across the 6 of their papers we have counts for
3 papers · 1 filter
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…