Warianty tytułu
Języki publikacji
Abstrakty
Based on the bosonization approach, the N = 1 supersymmetric Burgers (SB) system is transformed to a coupled pure bosonic system. The Painlevé property and the Bäcklund transformations (BT) of the bosonized SB (BSB) system are obtained through standard singularity analysis. Explicit solutions such as the muti-solitarywaves and error functionwaves are provided for the BT. The exact solutions of the BSB system are obtained from the generalized tanh expansion method.
Czasopismo
Rocznik
Tom
Numer
Opis fizyczny
Daty
otrzymano
2015-01-01
zaakceptowano
2015-04-03
online
2015-05-22
Twórcy
autor
-
Institute of Nonlinear Science,
Shaoxing University, Shaoxing 312000, China
Bibliografia
- [1] B.A. Kupershmidt, Phys. Lett. A 102, 213 (1984)
- [2] P. Mathieu, J. Math. Phys. 29, 2499 (1988)[Crossref]
- [3] I. Yamanaka, R. Sasaki, Prog. Theor. Phys. 79, 1167 (1988)[Crossref]
- [4] B.A. Kupershmidt, Mech. Res. Commun. 13, 47 (1986)[Crossref]
- [5] L. Hlavatý, Phys. Lett. A 137, 173 (1989)
- [6] S. Ferrara, L. Girardello, S. Sciuto, Phys. Lett. B 76, 303 (1978)
- [7] Y.I. Marnin, A.O. Radul, Commun. Math. Phys. 98, 65 (1985)[Crossref]
- [8] G.H.M. Roelofs, P.H.M. Kersten, J. Math. Phys. 33, 2185 (1992)[Crossref]
- [9] M. Chaichan, P.P. Kulish, Phys. Lett. B 78, 413 (1978)
- [10] I. Yamanaka, R. Sasaki, Prog. Theore. Phys. 79, 1167 (1988)[Crossref]
- [11] Q.P. Liu, Lett. Math. Phys. 35, 115 (1995)[Crossref]
- [12] Q.P. Liu, Y.F. Xie, Phys. Lett. A 325, 139 (2004)
- [13] Q.P. Liu, X.B. Hu, M.X. Zhang, Nonlinearity 18, 1597 (2005)[Crossref]
- [14] P.H.M. Kersten, Phys. Lett. A 134, 25 (1988)
- [15] S. Bellucci, E. Ivanov, S. Krivonos, A. Pichugin, Phys. Lett. B 312,463 (1993)
- [16] A.S. Carstea, Nonlinearity 13, (2000) 1645[Crossref]
- [17] F. Correa, M.S. Plyushchay, Ann. Phys. 322, 2493 (2007)
- [18] S. Andrea, A. Restuccia, A. Sotomayor, J. Math. Phys. 42, 2625(2001)[Crossref]
- [19] X.N. Gao, S.Y. Lou, Phys. Lett. B 707, 209 (2012)
- [20] B. Ren, J. Lin, J. Yu, AIP Advances 3, 042129 (2013)
- [21] X.N. Gao, S.Y. Lou, X.Y. Tang, JHEP 05, 029 (2013)
- [22] J. Weiss, M. Tabor, G. Carnevale, J. Math. Phys. 24, 522 (1983)[Crossref]
- [23] S.Wang, X.Y. Tang, S.Y. Lou, Chaos. Soliton. Fract. 21, 231 (2004)[Crossref]
- [24] X.P. Cheng, S.Y. Lou, C.L. Chen, X.Y. Tang, Phys. Rev. E 89,043202 (2014)
- [25] W.X. Chen, J. Lin, Abstr. Appl. Anal. 2014 645456 (2014)
- [26] A.S. Carstea, A. Ramani, B. Grammaticos, Chaos Soliton. Fractal.14, 155 (2002)[Crossref]
- [27] A.S. Carstea, arXiv:0006032 [nlin.SI]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_1515_phys-2015-0027