sigma06-065. 216KB Jun 04 2011 12:09:54 AM
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Finally, the study of the partial symmetry ( 21 ) has been useful not only to obtain a reduction of the initial equations, leading also to new particular solutions, but also to
They were determined by means of the universal enveloping algebra of a Lie algebra, and successive applications of Lie groups and algebras to other mathematical and physical
The Hamil- tonian structure is then used in the construction of a new family of symmetries and the associated conserved quantities of the Maxwell–Bloch equations.. Key
It has been shown that the proposed approach generalizes the Fourier series in Hilbert space (Section 5.2.5 ), the Wiener filter, the Karhunen–Lo`eve transform (KLT) and the
The method of approximate conditional symmetries for partial differential equations with a small parameter was suggested by Mahomed and Qu [ 8 ] (point symmetries), Kara, Mahomed and
The results of qualitative analysis of Kirchhoff’s differential equations represented in the paper give evidence that the technique of investigation of mechanical systems, which
In this paper we have presented higher-dimensional gKdV and modified gKdV equations (10) and (17), which are integrable in the sense of the Painlev´e test.. And also N
[3] Castro M., Gr¨ unbaum F.A., The algebra of matrix valued differential operators associated to a given family of matrix valued orthogonal polynomials: five instructive examples,
