Soliton surface for the \((1+1)\)-dimensional Schrödinger-Maxwell-Bloch equation

DOI10.7546/giq-21-2020-320-327zbMath1478.37075OpenAlexW3091975204MaRDI QIDQ1980296

Gaukhar Shaikhova, Zhanar Umurzakhova, Kuralay Yesmakhanova

Publication date: 3 September 2021

Full work available at URL: https://doi.org/10.7546/giq-21-2020-320-327

zbMATH Keywords

Lax pairfundamental formssoliton surfacesgeometry of solitonsSchrödinger-Maxwell-Bloch equationSym-Tafel formula

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Cites Work

• Geometry of membranes
• Surfaces of revolution with prescribed mean curvature
• Exact solutions for the (2+1)-dimensional Hirota-Maxwell-Bloch system
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