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; bosonizationapproach; Painlevé analysis; generalized tanh expansionmethod

• Journal: Open Physics
• Year: 2015
• Volume: 13
• Issue: 1

Dates

received

1 - 1 - 2015

online

22 - 5 - 2015

accepted

3 - 4 - 2015

Contributors

author

Bo Ren

• Institute of Nonlinear Science,
  Shaoxing University, Shaoxing 312000, China

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