Painlevé analysis and exact solutions of bosonized N = 1 supersymmetric Burgers equation

• Authors: Bo Ren
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

supersymmetric Burgers equation   bosonization
approach   Painlevé analysis   generalized tanh expansion
method  

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2015
• Volume: 13
• Issue: 1

Dates

received

1 - 1 - 2015

online

22 - 5 - 2015

accepted

3 - 4 - 2015

References

• [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]

Identifiers

DOI

10.1515/phys-2015-0027