Exact travelling wave solutions for isothermal magnetostatic atmospheres by fan subequation method

Abstract and Applied Analysis

Volumn 2012, Issue , 2012, Pages

  Jafari, Hossein ^a,b   Ghorbani, Maryam ^a   Khalique, Chaudry Masood ^b  

^a UNIVERSITY OF MAZANDARAN   (Iran)

^b NORTH WEST UNIVERSITY   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84871837617     PISSN: 10853375     EISSN: 16870409     Source Type: Journal    
DOI: 10.1155/2012/962789     Document Type: Article

References (16)

1. Khater A. H., El-Attary M. A., El-Sabbagh M. F., Callebaut D. K., Two-dimensional magnetohydrodynamic equilibria. Astrophysics and Space Science 1988 149 2 217 223 10.1007/BF00639791 974877 ZBL0662.76139
2. Khater A. H., Callebaut D. K., El-Kalaawy O. H., Bäcklund transformations and exact solutions for a nonlinear elliptic equation modelling isothermal magnetostatic atmosphere. IMA Journal of Applied Mathematics 2000 65 1 97 108 10.1093/imamat/65.1.97 1773875 ZBL0959.35056
3. Lerche I., Low B. C., Some nonlinear problems in astrophysics. Physica D. Nonlinear Phenomena 1981/82 4 3 293 318 10.1016/0167-2789(82)90039-2 657737
4. Low B. C., Evolving force-free magnetic elds. I-the development of the pre are stage. The Astrophysical Journal 1977 212 234 242
5. Wu X.-H., He J.-H., Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method. Computers & Mathematics with Applications 2007 54 7-8 966 986 10.1016/j.camwa.2006.12.041 2395634 ZBL1143.35360 (Pubitemid 47488812)
6. Zwingmann W., Theoretical study of onset conditions for solar eruptive processes. Solar Physics 1987 111 309 331
7. Lerche I., Low B. C., On the equilibrium of a cylindrical plasma supported horizontally by magneticelds in uniform gravity. Solar Physics 1980 67 229 243
8. Webb G. M., Isothermal magnetostatic atmospheres. II-similarity solutions with current proportional to the magnetic potential cubed. The Astrophysical Journal 1988 327 933 949
9. Webb G. M., Zank G. P., Application of the sine-Poisson equation in solar magnetostatics. Solar Physics 1990 127 229 252
10. Fan E. G., Hon Y. C., A series of travelling wave solutions for two variant Boussinesq equations in shallow water waves. Chaos, Solitons & Fractals 2003 15 3 559 566 10.1016/S0960-0779(02)00144-3 1932473 ZBL1031.76008
11. Feng D., Li K., Exact traveling wave solutions for a generalized Hirota-Satsuma coupled KdV equation by Fan sub-equation method. Physics Letters A 2011 375 23 2201 2210 10.1016/j.physleta.2011.04.039 2800434 ZBL1241.35178
12. El-Wakil S. A., Abdou M. A., The extended Fan sub-equation method and its applications for a class of nonlinear evolution equations. Chaos, Solitons and Fractals 2008 36 2 343 353 10.1016/j.chaos.2006.06.065 2382564 (Pubitemid 47588896)
13. Yomba E., The modified extended Fan sub-equation method and its application to the (2 + 1) -dimensional Broer-Kaup-Kupershmidt equation. Chaos, Solitons and Fractals 2006 27 1 187 196 10.1016/j.chaos.2005.03.021 2165273 (Pubitemid 40999975)
14. Yomba E., The extended Fan's sub-equation method and its application to KdV-MKdV, BKK and variant Boussinesq equations. Physics Letters A 2005 336 6 463 476 10.1016/j.physleta.2005.01.027 2118775 ZBL1136.35451 (Pubitemid 40283505)
15. Zhang S., Zhang H.-Q., Fan sub-equation method for Wick-type stochastic partial differential equations. Physics Letters A 2010 374 41 4180 4187 10.1016/j.physleta.2010.08.023 2684864 ZBL1238.35198
16. Zhang S., Xia T., A further improved extended Fan sub-equation method and its application to the (3 + 1) -dimensional Kadomstev-Petviashvili equation. Physics Letters A 2006 356 2 119 123 10.1016/j.physleta.2006.03.027 2243372 (Pubitemid 43929163)