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Soliton, breather and shockwave solutions of the Heisenberg and the TT¯ deformations of scalar field theories in 1+1 dimensions
(2021-04-01)
In this note we study soliton, breather and shockwave solutions in certain two dimensional field theories. These include: (i) Heisenberg’s model suggested originally to describe the scattering of high energy nucleons (ii) ...
The concept of quasi-integrability for modified non-linear Schrodinger models
(SPRINGERNEW YORK, 2012)
We consider modifications of the nonlinear Schrodinger model (NLS) to look at the recently introduced concept of quasi-integrability. We show that such models possess an in finite number of quasi-conserved charges which ...
Type-II Backlund transformations via gauge transformations
(Springer, 2011-12-01)
The construction of type II Backlund transformation for the sine-Gordon and the Tzitzeica-Bullough-Dodd models are obtained from gauge transformation. An infinite number of conserved quantities are constructed from the ...
Type-II Backlund transformations via gauge transformations
(Springer, 2011-12-01)
The construction of type II Backlund transformation for the sine-Gordon and the Tzitzeica-Bullough-Dodd models are obtained from gauge transformation. An infinite number of conserved quantities are constructed from the ...
Self-dual hopfions
(Springer, 2010-03-01)
We construct static and time-dependent exact soliton solutions with nontrivial Hopf topological charge for a field theory in 3 + 1 dimensions with the target space being the two dimensional sphere S(2). The model considered ...
Noise induced rolls propagation
(2007)
Interfaces in two-dimensional systems exhibit unexpected complex dynamical behaviors. We present a robust effect of noise in two dimensional extended systems: the motion of a static front connecting a stripe pattern with ...
No particle production in two dimensions: recursion relations and multi-Regge limit
(2019-02-01)
We introduce high-energy limits which allow us to derive recursion relations fixing the various couplings of Lagrangians of two-dimensional relativistic quantum field theories with no tree-level particle production in a ...
Noncommutative integrable field theories in 2d
(Elsevier B.V., 2014)
Super-WZNW with reductions to supersymmetric and fermionic integrable models
(Elsevier B.V., 2013)