Solitons emerge in various non-linear systems as stable localized configurations, behaving
in many ways like particles, from non-linear optics and condensed matter to nuclear physics …

Two-dimensional classical chiral models of field theory are considered, the main attention
being paid on geometrical aspects of such theories. A characteristic feature of these models …

Motivated by a desire to find a useful 2d Lorentz-invariant reformulation of the AdS5× S5
superstring world-sheet theory in terms of physical degrees of freedom we construct the …

General two-dimensional Euclidean chiral models of field theory are considered in detail. It
is shown that in the case when the field takes its values in an arbitrary Kähler manifold the …

We apply the dressing method to construct new classical string solutions describing various
scattering and bound states of magnons. These solutions carry one, two or three SO (6) …

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 …

We see that the recursion operator is a very useful and important object in the theory of
nonlinear evolution equations integrable by the IST method. On the one hand, the recursion …

We study a recently discovered family of 1/8-BPS supersymmetric Wilson loops in\(\mathcal
{N}= 4\) super Yang-Mills theory and their string theory duals. The operators are defined for …

A systematic group theoretical formulation of the Pohlmeyer reduction is presented. It
provides a map between the equations of motion of sigma models with target-space a …

Two types of linear inhomogeneous integral equations, which yield solutions of a broad
class of nonlinear evolution equations, are investigated. One type is characterized by a two …