The decomposition method for studying a higher-order nonlinear Schrödinger equation in atmospheric dynamics

Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

Volumn 62, Issue 7-8, 2007, Pages 387-395

  Ma, Zheng Yi ^a,b  

^a LISHUI UNIVERSITY   (China)

^b SHANGHAI UNIVERSITY   (China)

Author keywords

Adomian decomposition method; Adomian polynomials; Higher order nonlinear Schr dinger equation

Indexed keywords

EID: 39049151738     PISSN: 09320784     EISSN: None     Source Type: Journal    
DOI: 10.1515/zna-2007-7-806     Document Type: Article

References (17)

1. D. H. Lou, Wave Motion 33, 339 (2001).
2. K. B. Dysthe, Proc. R. Soc. London A 369, 105 (1979).
3. A. Hasegawa and Y Kodama, Solitons in Optical Communication, Clarendon Press, Oxford 1995.
4. G. Adomian, Appl. Math. Comput. 88, 127 (1997).
5. S.A. Khuri, Appl. Math. Comput. 97, 251 (1998).
6. B. K. Datta, Comput. Math. Appl. 20, 61 (1990).
7. S. M. El-Sayed and D. Kaya, Appl. Math. Comput. 172, 1315 (2006).
8. G. Adomian and R. Rach, Appl. Math. Comput. 57, 61 (1993).
9. A. M. Wazwaz, Partial Differential Equations: Methods and Applications, Balkema Press, Rotterdam 2002.
10. R. Rach, J. Math. Anal. Appl. 128, 480 (1987).
11. J. Y. Edwards, J. A. Roberts, and N. J. Ford, Technical Report No. 309, Manchester Center of Computational Mathematics, Manchester 1997.
12. A. M. Wazwaz, Appl. Math. Comput. 97, 37 (1998).
13. S. M. El-Sayed and M. R. Abdel-Aziz, Appl. Math. Comput. 136, 151 (2003).
14. T. Geyikli and D. Kaya, Appl. Math. Comput. 169, 146 (2005).
15. N. Ngarhasta, B. Some, K. Abbaoui, and Y. Cherruault, Kybernetes 31, 61 (2002).
16. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th ed., Dover, New York 1972.
17. G. Arfken, Taylor's Expansion, in: Mathematical Methods for Physicists, 3rd ed., Academic Press, Orlando, FL 1985.