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- W2029456443 abstract "In the present paper we give some analytic considerations of the spherically-symmetric nonlinear Schrödinger equation arising in the Langmuir collapse problem. We will make a systematic exploration of the various group symmetries of thie equation and show that the latter possesses only a three-parameter symmetry group. We will then give a variational formulation of this equation and use the three-parameter symmetry group to show that the equation in question possesses apparently only two polynomial conservation laws. Finally, we will make a study of the singularity structure of the present equation and show that it does not seem to possess the Painlevé property. The conclusion is that the spherically-symmetric nonlinear Schrödinger equation in question is apparently not integrable." @default.
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- W2029456443 date "1998-12-01" @default.
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- W2029456443 title "On the non-integrability of the spherically-symmetric nonlinear Schrödinger equation in the Langmuir collapse problem" @default.
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- W2029456443 doi "https://doi.org/10.1016/s0375-9601(98)00803-2" @default.
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