In this paper, we examine the nonrelativistic stationary Schrödinger equation from a
differential Galois-theoretic perspective. The main algorithmic tools are pullbacks of second …

We investigate the question of possible integrability of classical string motion in curved p-
brane backgrounds. For example, the D3-brane metric interpolates between the flat and the …

A bstract Using methods of Hamiltonian dynamical systems, we show analytically that a
dynamical system connected to the classical spinning string solution holographically dual to …

We survey recent advances in the non-integrability criteria for Hamiltonian Systems which
involve the differential Galois group of variational equations along particular solutions. The …

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We show the nonintegrability of the three-parameter Armburster--Guckenheimer--Kim
quartic Hamiltonian using Morales--Ramis theory, with the exception of the three already …

We study the integrability of polynomial vector fields using Galois theory of linear differential
equations when the associated foliations is reduced to a Riccati type foliation. In particular …

This thesis is concerning to the Differential Galois Theory point of view of the
Supersymmetric Quantum Mechanics. The main object considered here is the non …

In this paper we present an approach toward the comprehensive analysis of the
nonintegrability of differential equations in the form ̈x=f(x,t) which is analogous to …

Abstract The Morales-Ramis theory provides an effective and powerful non-integrability
criterion for complex analytic Hamiltonian systems via the differential Galoisian obstruction …