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Journal
2013 | 11 | 4 | 457-469
Article title

Darboux operators for linear first-order multi-component equations in arbitrary dimensions

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EN
Abstracts
EN
We construct Darboux operators for linear, multi-component partial differential equations of first order. The number of variables and the dimension of the matrix coefficients in our equations are arbitrary. The Darboux operator and the transformed equation are worked out explicitly. We present an application of our formalism to the (1+2)-dimensional Weyl equation.
Publisher

Journal
Year
Volume
11
Issue
4
Pages
457-469
Physical description
Dates
published
1 - 4 - 2013
online
22 - 5 - 2013
Contributors
  • Department of Mathematics and Actuarial Science, Indiana University Northwest, 3400 Broadway, Gary, IN, 46408, USA, axgeschu@iun.edu
References
  • [1] G. Darboux, Comptes Rendus Acad. Sci. Paris 94, 1456 (1882)
  • [2] C. Gu, H. Hu, Z. Zhou, Darboux transformations in integrable systems, Mathematical Physics Studies 26 (Springer, Dordrecht, The Netherlands, 2005)
  • [3] V.B. Matveev, M.A. Salle, Darboux transformations and solitons (Springer, Berlin, 1991) http://dx.doi.org/10.1007/978-3-662-00922-2[Crossref]
  • [4] V.G. Bagrov, B.F. Samsonov, Phys. Lett. A 210, 60 (1996) http://dx.doi.org/10.1016/0375-9601(95)00832-2[Crossref]
  • [5] F. Cooper, A. Khare, U. Sukhatme, Phys. Rep. 251, 267 (1995) http://dx.doi.org/10.1016/0370-1573(94)00080-M[Crossref]
  • [6] D.J. Fernandez, AIP Conference Proceedings 1287, 3 (2010)
  • [7] A. Anderson, Phys. Rev. A 43, 4602 (1991) http://dx.doi.org/10.1103/PhysRevA.43.4602[Crossref]
  • [8] B.F. Samsonov, V.V. Shamshutdinova, J. Phys. A 38, 4715 (2005) http://dx.doi.org/10.1088/0305-4470/38/21/015[Crossref]
  • [9] A. Contreras, D.J. Fernandez C., J. Negro, SIGMA 8, 082 (2012)
  • [10] N. Debergh, A.A. Pecheritsin, B.F. Samsonov, B. van den Bossche, J. Phys. A 35, 3279 (2002) http://dx.doi.org/10.1088/0305-4470/35/14/309[Crossref]
  • [11] L.M. Nieto, A. A. Pecheritsin, B.F. Samsonov, Ann. Phys. 305, 151 (2003) http://dx.doi.org/10.1016/S0003-4916(03)00071-X[Crossref]
  • [12] E. Pozdeeva, Int. J. Mod. Phys. A 23, 247 (2008) http://dx.doi.org/10.1142/S0217751X08038500[Crossref]
  • [13] E. Pozdeeva, A. Schulze-Halberg, J. Math. Phys. 51, 113501 (2010) http://dx.doi.org/10.1063/1.3505127[Crossref]
  • [14] A.V. Yurov, Phys. Lett. A 225, 51 (1997) http://dx.doi.org/10.1016/S0375-9601(96)00836-5[Crossref]
  • [15] B. Blanes, F. Casas, J.A. Oteo, J. Ros, Phys. Rep. 470, 151 (2009) http://dx.doi.org/10.1016/j.physrep.2008.11.001[Crossref]
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-013-0242-0
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