Non-Lie ansatzen and conditional symmetry of the nonlinear Schrödinger equation |
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| Authors: | V I Fushchich I A Egorchenko |
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| Institution: | (1) Institute of Mathematics, Academy of Sciences of the Ukraine, Kiev |
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| Abstract: | A new approach to the construction of non-Lie ansatzen that reduce the multidimensional nonlinear Schrödinger equation to ordinary differential equations is proposed. Besides the well-known solutions that may be obtained by means of Lie symmetry, other solutions are found that may be generated by means of conditional invariance operators of the Schrödinger equation.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 12, pp. 1620–1628, December, 1991. |
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