Author:
Esper Chantelle,Frolov Sergey
Abstract
Abstract
The light-cone gauge approach to $$ T\overline{T} $$
T
T
¯
deformed models is used to derive the $$ T\overline{T} $$
T
T
¯
deformed matrix nonlinear Schrödinger equation, the Landau-Lifshitz equation, and the Gardner equation. Properties of one-soliton solutions of the $$ T\overline{T} $$
T
T
¯
deformed nonlinear Schrödinger and Korteweg-de Vries equations are discussed in detail. The NLS soliton exhibits the recently discussed phenomenon of widening/narrowing width of particles under the $$ T\overline{T} $$
T
T
¯
deformation. However, whether the soliton’s size is increasing or decreasing depends not only on the sign of the deformation parameter but also on soliton and potential parameters. The $$ T\overline{T} $$
T
T
¯
deformed KdV equation admits a one-parameter family of one-soliton solutions in addition to the usual velocity parameter. The extra parameter modifies the properties of the soliton, in particular, it appears in the dispersion relation.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
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