Abstract
Different general solutions are obtained by selecting different seed solutions to the multilinear variable-separation approach in the (2+1)-dimensional Maccari system. By different variable separated solutions with arbitrary functions selected as Jacobian elliptic functions, periodic wave with chaotic behavior and the localized fractal structure, and the interaction between (elliptic) periodic wave and peakon are discussed respectively.
Similar content being viewed by others
References
H R Pakzad Indian J. Phys. 84 867 (2010); Z Emami and H R Pakzad Indian J. Phys. 85 1643 (2011); K Javidan and H R Pakzad Indian J. Phys. 87 83 (2013)
H Kumar, A Malik, F Chand and S C Mishra Indian J. Phys. 86 819 (2012)
C Q Dai and J F Zhang Opt. Commun. 263 309 (2006)
Z Azimzadeh, A R Vahidi and E Babolian Indian J. Phys. 86 721 (2012)
L Li et al. Opt. Commun. 234 169 (2004)
S H Ma et al. Chin. Phys. B 21 050511 (2012)
C Q Dai, Y Y Wang and J F Zhang Opt. Lett. 35 1437 (2010)
A H Bhrawy, M M Tharwat, A Yildirim and M A Abdelkawy Indian J. Phys. 86 1107 (2012)
A Malik, F Chand, H Kumar and S C Mishra Indian J. Phys. 86 129 (2012)
S Y Lou and J Z Lu J. Phys. A 29 4209 (1996)
R Y Hao et al. Opt. Commun. 236 79 (2004)
Z Yang, S H Ma and J P Fang Chin. Phys. B 20 040301 (2011)
X Y Tang, C L Chen and S Y Lou J. Phys. A 35 L293 (2002)
Y Z Peng J. Phys. Soc. Jpn. 74 287 (2005)
A Maccari J. Math. Phys. 37 6207 (1996)
N Yajima and M Oikawa Prog. Theor. Phys. 56 1719 (1974)
K Porsezian J. Math. Phys. 38 4675 (1997)
H W Huang and L Y Liu Acta Phys. Sin. 56 5026 (2007)
H W Huang, L Y Liu and Z Y Ma Commun. Theor. Phys. 47 397 (2007)
A Malik, F Chand, H Kumar, S C Mishra Pramana 78 513 (2012)
A Malik, F Chand and S C Mishra Appl. Math. Comput. 216 2596 (2010)
R Hirota Phys. Rev. Lett. 27 1192 (1971)
S F Shen, J Zhang and Z L Pan Commun. Theor. Phys. 43 582 (2005)
K Chandrasekharan Elliptic Functions (Berlin: Springer) p 50 (1985)
A Hagazi, H N Agiza and M M El-Dessoky Chaos Soliton Fract 12 631 (2001)
S H Ma and Y L Zhang, Commun. Theor. Phys. 57 1117 (2010)
W L Chen et al. Chin. Phys. B 21 110507 (2012)
C Q Dai Phys. Scr. 75 310 (2007)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Dai, CQ., Wang, YY. Special structures related to Jacobian elliptic functions in the (2+1)-dimensional Maccari system. Indian J Phys 87, 679–685 (2013). https://doi.org/10.1007/s12648-013-0270-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12648-013-0270-z