## 197 Citations

### On the Symmetries of Classical String Theory

- Physics
- 2008

I discuss some aspects of conformal defects and conformal interfaces in two spacetime dimensions. Special emphasis is placed on their role as spectrumgenerating symmetries of classical string theory.

### Triangular reductions of the 2D toda hierarchy

- Mathematics
- 2017

New reductions of the 2D Toda equations associated with lower-triangular difference operators are proposed. Their explicit Hamiltonian description is obtained.

### Classical and Stochastic Löwner–Kufarev Equations

- Mathematics
- 2014

In this paper we present a historical and scientific account of the development of the theory of the Lowner–Kufarev classical and stochastic equations spanning the 90-year period from the seminal…

### On the quantum inverse problem for the closed Toda chain

- Mathematics, Physics
- 2003

We reconstruct the canonical operators pi, qi of the quantum closed Toda chain in terms of Sklyanin's separated variables.

### On the r-matrix structure of the hyperbolic BC(n) Sutherland model

- Mathematics
- 2012

Working in a symplectic reduction framework, we construct a dynamical r-matrix for the classical hyperbolic BC(n) Sutherland model with three independent coupling constants. We also examine the Lax…

### Differential algebra of the Painlevé property

- Mathematics
- 2010

In the 1970s, self-similar solutions to integrable PDEs were found to satisfy the Painlevé condition. There ensued a proposal to linearize the Painlevé condition via inverse scattering, which…

### Classical Integrable and Separable Hamiltonian Systems

- MathematicsQuantum versus Classical Mechanics and Integrability Problems
- 2019

In this chapter we introduce the concept of classical integrability of Hamiltonian systems and then develop the separability theory of such systems based on the notion of separation relations…

### SELECTED TOPICS IN CLASSICAL INTEGRABILITY

- Mathematics
- 2012

Basic notions regarding classical integrable systems are reviewed. An algebraic description of the classical integrable models together with the zero curvature condition description is presented. The…

### Quantum integrability of quadratic Killing tensors

- Physics
- 2005

Quantum integrability of classical integrable systems given by quadratic Killing tensors on curved configuration spaces is investigated. It is proven that, using a “minimal” quantization scheme,…

### Painlevé Tests, Singularity Structure and Integrability

- Mathematics
- 2009

After a brief introduction to the Painleve property for ordinary differential equations, we present a concise review of the various methods of singularity analysis which are commonly referred to as…