Nonlinear Schrodinger Equations and Virasoro Algebra
H.T. Ozer, S.Salihoglu
TL;DR
This paper introduces new coupled nonlinear Schrödinger equations derived from the AKNS scheme with a soliton connection valued in the Virasoro algebra, expanding the mathematical framework for integrable systems.
Contribution
It presents a novel derivation of coupled nonlinear Schrödinger equations using the Virasoro algebra within the AKNS scheme, linking algebraic structures to integrable PDEs.
Findings
Derived new coupled nonlinear Schrödinger equations
Connected Virasoro algebra to integrable PDEs
Expanded mathematical tools for soliton theory
Abstract
By using AKNS scheme and soliton connection taking values in a Virasoro algebra we obtain new coupled Nonlinear Schrodinger equations.
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