Integrable NLS equation with time-dependent nonlinear coefficient and self-similar attractive BEC
نویسندگان
چکیده
We investigate the Nonlinear Schrödinger Equation with a timedependent nonlinear coefficient. By means of Painlevé analysis we establish the integrability of a particular case, when the nonlinear coefficient decays with t. The corresponding soliton solution is shown to be of the self-similar kind. We discuss implications of the result to the dynamics of attractive Bose-Einstein condensates under Feshbach-managed nonlinearity and explore the possibility of a managed selfsimilar evolution in 1D condensates. PACS numbers: 02.30.Ik, 03.75.Lm, 05.45.Yv Integrable NLS equation with time-dependent nonlinear coefficient 2
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Title Integrable NLS equation with time-dependent nonlinear coefficient and self-similar attractive BEC
We investigate the nonlinear Schrödinger equation with a time-dependent nonlinear coefficient. By means of Painlevé analysis we establish the integrability for a particular form of the nonlinear coefficient. The corresponding soliton solution is shown to be of the self-similar kind. We discuss the implications of the result to the dynamics of attractive Bose–Einstein condensates under Feshbach-...
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