Jacobi elliptic function solutions of the generalized Zakharov-Kuznetsov equation with nonlinear dispersion and t-dependent coefficients

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 374, Issue 15-16, 2010, Pages 1611-1615

  Yomba, Emmanuel ^a,b  

^a UNIVERSITY OF MINNESOTA   (United States)

^b UNIVERSITY OF NGAOUNDERE   (Cameroon)

Author keywords

F function method; Jacobi elliptic function solutions; Variable coefficient generalized Zakharov Kuznetsov equation

Indexed keywords

CONTROL NONLINEARITIES; DISPERSION (WAVES); DISPERSIONS;

CONSTRAINT RELATIONS; F-FUNCTION; JACOBI ELLIPTIC FUNCTION SOLUTIONS; NONLINEAR DISPERSION; POWER-LAW NONLINEARITY; TIME-DEPENDENT COEFFICIENTS; TRAVELING SOLUTIONS; ZAKHAROV-KUZNETSOV EQUATION;

NONLINEAR EQUATIONS;

EID: 77949289626     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2010.02.026     Document Type: Article

References (25)

1. Gedain M., Scott T.C., and Band Y.B. Phys. Rev. Lett. 78 3 (1997) 448
2. Currie J.F., Krumhansl J.A., Bishop A.R., and Trullinger S.E. Phys. Rev. B 22 (1980) 477
3. Belmonte-Beitia J., Pérez-García V.M., Vekslerchilk V., and Konotop V.V. Phys. Rev. Lett. 100 (2008) 164102
4. Avelar A.T., Bazeia D., and Cardoso W.B. Phys. Rev. E 79 (2009) 025602R
5. Avelar A.T., Bazeia D., and Cardoso W.B. arXiv:0902.3135v1 [quanta-ph]
6. Belmonte-Beitia J., and Cuevas J. J. Phys. A: Math. Theor. 42 (2009) 165201
7. Belmonte-Beitia J., and Calvo G.F. Phys. Lett. A 373 (2009) 448
8. E. Yomba, Jacobi elliptic function solutions in power law media with time-dependent coeffcients, J. Math. Phys., submitted for publication
9. E. Yomba, Solitons for the generalized higher order nonlinear Schrödinger equation with time- and space-modulated coeffcients, unpublished
10. Zhang S., and Zhang H.Q. Phys. Lett. A 373 (2009) 2501
11. Triki H., and Wazwaz A.M. Phys. Lett. A 373 (2009) 2162
12. Biswas A. Phys. Lett. A 373 (2009) 2931
13. Belić M., Petrović N., Zhong W.P., Xie R.H., and Chen G. Phys. Rev. Lett. 101 (2008) 123904
14. Liang J., Liu H., Liu F., and Yi L. J. Phys. A: Math. Theor. 42 (2009) 335204
15. Schiff L.I., Snyder H., and Weinberg J. Phys. Rev. 57 (1940) 315
16. Green A.M. Nucl. Phys. 33 (1962) 218
17. Pauli W. Z. Phys. 43 (1927) 601
18. Wang M.L., and Zhou Y.B. Phys. Lett. A 318 (2003) 84
19. Wang M.L., and Li X.Z. Phys. Lett. A 343 (2005) 48
20. He J.H., and Wu X.H. Chaos Solitons Fractals 30 (2006) 700
21. Zhang S. Phys. Lett. A 365 (2007) 448
22. Zhu S.D. Int. J. Nonlinear Sci. Numer. Simul. 8 (2007) 461
23. Yomba E. J. Math. Phys. 46 (2005) 123504
24. Wazwaz A.M. Appl. Math. Comput. 173 (2006) 213
25. Lai S., Yin J., and Wu Y. Phys. Lett. A 372 (2008) 6461