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Integrable NLS equation with time-dependent nonlinear coefficient and self-similar attractive BEC
(Elsevier B.V., 2011-01-01)
We investigate the nonlinear Schrodinger equation with a time-dependent nonlinear coefficient. By means of Painleve analysis we establish the integrability for a particular form of the nonlinear coefficient. The corresponding ...
Integrable NLS equation with time-dependent nonlinear coefficient and self-similar attractive BEC
(Elsevier B.V., 2011-01-01)
We investigate the nonlinear Schrodinger equation with a time-dependent nonlinear coefficient. By means of Painleve analysis we establish the integrability for a particular form of the nonlinear coefficient. The corresponding ...
Hirota method for oblique solitons in two-dimensional supersonic nonlinear Schrodinger flow
(ELSEVIER SCIENCE BVAMSTERDAM, 2012)
In a previous work El et al. (2006) [1] exact stable oblique soliton solutions were revealed in two-dimensional nonlinear Schrodinger flow. In this work we show that single soliton solution can be expressed within the ...
On the local well-posedness for some systems of coupled KdV equations
(Pergamon-elsevier Science LtdOxfordInglaterra, 2008)
Confinement and soliton solutions in the SL(3) Toda model coupled to matter fields
(2002-04-08)
We consider an integrable conformally invariant two-dimensional model associated to the affine Kac-Moody algebra sl3(ℂ). It possesses four scalar fields and six Dirac spinors. The theory does not possesses a local Lagrangian ...
Confinement and soliton solutions in the SL(3) Toda model coupled to matter fields
(2002-04-08)
We consider an integrable conformally invariant two-dimensional model associated to the affine Kac-Moody algebra sl3(ℂ). It possesses four scalar fields and six Dirac spinors. The theory does not possesses a local Lagrangian ...