Mots-clés : matrix solution
@article{TMF_2009_159_3_a11,
author = {C. R. Gilson and J. C. Nimmo and C. M. Sooman},
title = {Matrix solutions of a~noncommutative {KP} equation and a~noncommutative {mKP} equation},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {448--458},
year = {2009},
volume = {159},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2009_159_3_a11/}
}
TY - JOUR AU - C. R. Gilson AU - J. C. Nimmo AU - C. M. Sooman TI - Matrix solutions of a noncommutative KP equation and a noncommutative mKP equation JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2009 SP - 448 EP - 458 VL - 159 IS - 3 UR - http://geodesic.mathdoc.fr/item/TMF_2009_159_3_a11/ LA - ru ID - TMF_2009_159_3_a11 ER -
%0 Journal Article %A C. R. Gilson %A J. C. Nimmo %A C. M. Sooman %T Matrix solutions of a noncommutative KP equation and a noncommutative mKP equation %J Teoretičeskaâ i matematičeskaâ fizika %D 2009 %P 448-458 %V 159 %N 3 %U http://geodesic.mathdoc.fr/item/TMF_2009_159_3_a11/ %G ru %F TMF_2009_159_3_a11
C. R. Gilson; J. C. Nimmo; C. M. Sooman. Matrix solutions of a noncommutative KP equation and a noncommutative mKP equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 3, pp. 448-458. http://geodesic.mathdoc.fr/item/TMF_2009_159_3_a11/
[1] C. R. Gilson, J. J. C. Nimmo, C. M. Sooman, J. Phys. A, 41:8 (2008), 085202 | DOI | MR | Zbl
[2] O. Lechtenfeld, L. Mazzanti, S. Penati, A. D. Popov, L. Tamassia, Nucl. Phys. B, 705:3 (2005), 477–503 | DOI | MR | Zbl
[3] C. X. Li, J. J. C. Nimmo, Proc. R. Soc. Lond. Ser. A, 464:2092 (2008), 951–966 | DOI | MR | Zbl
[4] A. Dimakis, F. Müller-Hoissen, J. Phys. A, 39:29 (2006), 9169–9186 | DOI | MR | Zbl
[5] N. Wang, M. Wadati, J. Phys. Soc. Japan, 73:7 (2004), 1689–1698 | DOI | MR | Zbl
[6] V. M. Goncharenko, TMF, 126:1 (2001), 102–114 | DOI | MR | Zbl
[7] C. R. Gilson, J. J. C. Nimmo, J. Phys. A, 40:14 (2007), 3839–3850 | DOI | MR | Zbl
[8] M. Hamanaka, K. Toda, J. Phys. A, 36:48 (2003), 11981–11998 | DOI | MR | Zbl
[9] M. Hamanaka, “Noncommutative solitons and integrable systems”, Noncommutative Geometry and Physics, eds. Y. Maeda, N. Tose, N. Miyazaki, S. Watamura D. Sternheimer, World Sci., Hackensack, NJ, 2005, 175–198 | DOI | MR | Zbl
[10] A. Dimakis, F. Müller-Hoissen, Phys. Lett. A, 278:3 (2000), 139–145 | DOI | MR
[11] B. A. Kupershmidt, KP or mKP. Noncommutative Mathematics of Lagrangian, Hamiltonian, and Integrable Systems, Math. Surveys Monogr., 78, Amer. Math. Soc., Providence, RI, 2000 | DOI | MR | Zbl
[12] I. M. Gelfand, S. I. Gelfand, V. S. Retakh, R. L. Wilson, Adv. Math., 193:1 (2005), 56–141 | DOI | MR | Zbl
[13] V. M. Goncharenko, A. P. Veselov, J. Phys. A, 31:23 (1998), 5315–5326 | DOI | MR | Zbl
[14] V. M. Goncharenko, A. P. Veselov, “Yang–Baxter maps and matrix solitons”, New Trends in Integrability and Partial Solvability, NATO Sci. Ser. II Math. Phys. Chem., 132, eds. A. B. Shabat, A. González-López, M. Mañas, L. Martínez Alonso M. A. Rodríguez, Kluwer, Dordrecht, 2004, 191–197 | MR | Zbl
[15] V. M. Goncharenko, UMN, 55:5(335) (2000), 175–176 | DOI | MR | Zbl
[16] V. B. Matveev, M. A. Salle, Darboux Transformations and Solitons, Springer Ser. Nonlinear Dynam., Springer, Berlin, 1991 | MR | Zbl
[17] W. Oevel, C. Rogers, Rev. Math. Phys., 5:2 (1993), 299–330 | DOI | MR | Zbl
[18] J. J. C. Nimmo, “Darboux transformations from reductions of the KP hierarchy”, Nonlinear Evolution Equations and Dynamical Systems: NEEDS'\;94 (Los Alamos, NM), eds. V. G. Makhanov, A. R. Bishop, D. D. Holm, World Sci., River Edge, NJ, 1995, 168–177 | MR | Zbl