[PDF] Top 20 sigma05-027. 234KB Jun 04 2011 12:09:47 AM

... Remark 1. The equations (10)–(12) were given in [8]; the equation (10) coincides with (1). Remark 2. Each of the equations (10)–(20) can contain the term c u 1 in its right-hand side. We removed these terms by the ... Lihat dokumen lengkap

... Key words: discrete equations; invariant; Lie algebra; exact solution; Liuoville type equation 2000 Mathematics Subject Classification: 37D99; 37K60; 39A12 1 Introduction It is well k[r] ... Lihat dokumen lengkap

... The Lie algebra sl(2, R ) is not found as a constituent of a complete symmetry group since the Lie Brackets show a redundancy of operators and this thereby leads to a violation of the condition of minimality which is one ... Lihat dokumen lengkap

... Key words: conservation laws; discrete equations; quad-graph 2000 Mathematics Subject Classification: 70H33; 37K10; 39A05 1 Introduction A direct method for calculation of conservatio[r] ... Lihat dokumen lengkap

... General discrete C-transforms are the content of [5]. Their applications are in [6, 7, 8, 9]. In [10, 11] one finds an explicit description of the continuous and discrete C-transforms for the four semisimple Lie groups ... Lihat dokumen lengkap

... Ifyviiis used as an integrating factor in 9, we obtainyvii=kwith the following symmetries for each of the three cases: yvii= 0 yvii=k yvii=k 3 Relationship between fundamental integral[r] ... Lihat dokumen lengkap

... Combining the expressions for the terms in the four-momentum operator given in equa-where the first term in equation 15 is the free fermion-antifermion four-momentum opera-tor 11, the s[r] ... Lihat dokumen lengkap

... 5 The variational symmetries of the Lane–Emden systems In Sections 3 and 4, following [4, 5], we have described the properties of the large class of quasilinear ordinary differential eq[r] ... Lihat dokumen lengkap

... 11, 12, 13], we think that our formulas still deserve to be called geometric-semiclassical: the constructions are always very clearly akin to those in the three-dimensional Euclidean ... Lihat dokumen lengkap

... In case of the two-soliton potential the method of Jauslin becomes very involved, since it is not clear how corresponding integral may be calculated. In contrast, our formulas (12) and (14) give an explicit ... Lihat dokumen lengkap

... Here we apply the ideas of the complex germ method and the approach used in [11, 12] to construct the analytic solutions asymptotic in a small parameter ~ , ~ → 0, for equation (2). The asymptotic solutions are ... Lihat dokumen lengkap

... 4. Noether’s theorem is coordinate-dependent. The use of Noether’s theorem to obtain a con- servation law is coordinate-dependent since the action of a contact transformation can transform a DE having a variational ... Lihat dokumen lengkap

... on the one hand, is locally isomorphic to the corresponding 3-parameter subgroup (2) of the Lorentz group and, on the other hand, it is a homogeneous 3-parameter noncompact subgroup of the similitude group [13]. Since ... Lihat dokumen lengkap

... Key words: Quantum algebra suq1,1; representations; discrete q-ultraspherical polyno-mials 2000 Mathematics Subject Classification: 17B37; 33D45 1 Representations of suq1,1 with lowes[r] ... Lihat dokumen lengkap

... is the Poisson bracket for functions f (x, p), g(x, p) on phase space [1, 2, 3, 4, 5, 6, 7, 8]. It is easy to see that 2n − 1 is the maximum possible number of functionally independent symmetries and, locally, such (in ... Lihat dokumen lengkap

... In the integrable CB and in ‘almost integrable’ m-gons, limited by, say, m = 3, 4 and 6, the launching angle θ (2) is almost good integral of motion for the particles randomly injected on the billiard 1 . Consequently, ... Lihat dokumen lengkap

... To summarize, it is only natural that equation (12), essentially semiclassical one (due to the assumption |ω| ≫ 1), is universal, i.e. independent of spin s. Moreover, even if one assumes that j ≫ 1 as well (i.e. ... Lihat dokumen lengkap

... In the present paper we apply the regularization scheme based on the balance equations ˙Gα= 0 to the following problems: • self-action in four- and six-dimensional classical electrodyn[r] ... Lihat dokumen lengkap

... 15, 12], gave rise to the new theory of solitons and indicated applications to many areas of mathematical physics that are still being actively advanced ... Lihat dokumen lengkap

... The method used to obtain these additional integrals is called chopping and was used originally in [5] for the full symmetric Toda and later in [6] for the case of the full Kostant–Toda [r] ... Lihat dokumen lengkap