Functional Relations in Stokes Multipliers and Solvable Models related to U_q(A^{(1)}_n)

TL;DR

This paper extends the study of functional relations among Stokes multipliers from second-order Schrödinger equations to higher-order linear differential equations, linking them to solvable models.

Contribution

It generalizes the existing framework of Stokes multiplier relations to n+1-th order differential equations, broadening the applicability to more complex solvable models.

Findings

Extended the functional relations to higher-order differential equations.

Connected Stokes multipliers with solvable models in a broader context.

Provided a foundation for analyzing more complex differential equations.

Abstract

Recently, Dorey and Tateo have investigated functional relations among Stokes multipliers for a Schr{\"o}dinger equation (second order differential equation) with a polynomial potential term in view of solvable models. Here we extend their studies to a restricted case of n+1-th order linear differential equations.