Partial invariant solutions of the cubic Schr\"odinger equation
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2008), pp. 35-41

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In this paper we consider a question of integration of the over determined system of partial differential equations which correspond to the partial invariant solution (factor system $L_{3,1}$) of the cubic Schrödinger equation.
Keywords: Schrödinger equation, over determined systems.
Mots-clés : partial invariant solution
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     title = {Partial invariant solutions of the cubic {Schr\"odinger} equation},
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M. V. Neshchadim; A. P. Chupakhin. Partial invariant solutions of the cubic Schr\"odinger equation. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2008), pp. 35-41. http://geodesic.mathdoc.fr/item/VUU_2008_3_a3/