N-Wave Equations with Orthogonal Algebras: Z2 and Z2 × Z2 Reductions and Soliton Solutions

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

C/Z2 and Weil Conjecture

We calculate Betti numbers of the framed moduli space of instantons on Ĉ/Z2, under the assumption that the corresponding torsion free sheaves E have vanishing properties(Hom(E, E(−l∞)) = Ext (E, E(−l∞)) = 0). Moreover we derive the generating function of Betti numbers and obtain closed formulas. On the other hand, we derive a universal relation between the generating function of Betti numbers o...

متن کامل

Multivector Dirac Equation and Z2-Gradings of Clifford Algebras

We generalize certain aspects of Hestenes’s approach to Dirac theory to obtain multivector Dirac equations associated to a large class of representations of the gamma matrices. This is done by replacing the usual even/odd decomposition of the space-time algebra with more general Z2-gradings. Some examples are given and the chiral case, which is not addressed by the usual approach, is considered...

متن کامل

Z2-gradings of Clifford algebras and multivector structures

Let C (V, g) be the real Clifford algebra associated with the real vector space V , endowed with a nondegenerate metric g. In this paper, we study the class of Z2-gradings of C (V, g) which are somehow compatible with the multivector structure of the Grassmann algebra over V . A complete characterization for such Z2-gradings is obtained by classifying all the even subalgebras coming from them. ...

متن کامل

Self-Dual Cyclic and Quantum Codes Over Z2^{\alpha} x (Z2 + uZ2)^{\beta}

In this paper we introduce self-dual cyclic and quantum codes over Zα2 × (Z2 + uZ2) . We determine the conditions for any Z2Z2[u]-cyclic code to be self-dual, that is, C = C. Since the binary image of a selforthogonal Z2Z2[u]-linear code is also a self-orthogonal binary linear code, we introduce quantum codes over Zα2 × (Z2 + uZ2) β . Finally, we present some examples of self-dual cyclic and qu...

متن کامل

The Structure of One Weight Linear and Cyclic Codes Over Z2^r x (Z2+uZ2)^s

Inspired by the Z2Z4-additive codes, linear codes over Z r 2×(Z2 + uZ2) s have been introduced by Aydogdu et al. more recently. Although these family of codes are similar to each other, linear codes over Zr2×(Z2 + uZ2) s have some advantages compared to Z2Z4-additive codes. A code is called constant weight(one weight) if all the codewords have the same weight. It is well known that constant wei...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Symmetry, Integrability and Geometry: Methods and Applications

سال: 2007

ISSN: 1815-0659

DOI: 10.3842/sigma.2007.039