Study of Multicomponent Nonlinear Schrödinger-Type Equations

Project Manager: Myrzakul A.R.

Funding Source: GF of young scientists for the project “Zhas Galym”

Objective: finding a connection between the solution of a Schrödinger-type equation and solutions of spin systems of 1+1 and 2+1 dimensions.

Years of implementation: 2024–2026

Amount of funding: 29,967,790 tenge

Connections were established between solutions of two-layer Schrödinger-type equations and coupled spin systems in 1+1 and 2+1 dimensions.

The project is aimed at studying the algebraic-geometric approach to soliton theory and establishing equivalence between integrable evolution equations using the properties of Lie algebras and gauge transformations. The results are theoretical in nature and can be used in soliton theory, equations of mathematical physics, and differential geometry.