Uniqueness of the Kadomtsev-Petviashvili and Boussinesq Equations

Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

Volumn 66, Issue 6-7, 2011, Pages 377-382

  Ma, Wen Xiu ^a   Pekcan, Asli ^b  

^a UNIVERSITY OF SOUTH FLORIDA   (United States)

^b BILKENT UNIVERSITY   (Turkey)

Author keywords

Hirota's Bilinear form; Integrable equations; Three soliton condition

Indexed keywords

EID: 79960022954     PISSN: 09320784     EISSN: None     Source Type: Journal    
DOI: 10.1515/zna-2011-6-701     Document Type: Article

References (20)

1. R. Hirota, The Direct Method in Soliton Theory, Cambridge University Press, Cambridge 2004.
2. J. Hietarinta, J. Math. Phys. 28, 1732 (1987).
3. W. X. Ma and W. Strampp, Phys. Lett. A 341, 441 (2005).
4. J. Hietarinta, J. Math. Phys. 28, 2094 (1987).
5. W. X. Ma, in: Encyclopedia of Nonlinear Science (Ed. A. Scott), Taylor & Francis, New York, 2005 pp. 450- 453.
6. A. Nakamura, J. Math. Phys. 22, 2456 (1981).
7. X. B. Hu, Y. Li, and Q. M. Liu, Acta Math. Appl. Sin.-E. 9, 17 (1993).
8. W. X. Ma, R. G. Zhou, and L. Gao, Mod. Phys. Lett. A 21, 1677 (2009).
9. A. Pekcan, J. Nonlin. Math. Phys. 16, 127 (2009).
10. R. S. Johnson, J. Fluid Mech. 323, 65 (1996).
11. E. A. Kuznetsov and S. K. Turitsyn, Soviet Phys. JETP 82, 1457 (1982).
12. W. X. Ma, C. X. Li, and J. S. He, Nonlin. Anal.-Theor. 70, 4245 (2009).
13. W. X. Ma, Commun. Nonlin. Sci. 16, 2663 (2011).
14. W. X. Ma and E. G. Fan, Comp. Math. Appl. 61, 950 (2011).
15. T. Aktosun and C. van der Mee, Inverse Probl. 25, 105003 (2009).
16. Z.Y. Yan, Phys. Lett. A 361, 223 (2007).
17. M. A. Allen and G. Rowlands, Phys. Lett. A 235, 145 (1997).
18. Y. Chen, Z.Y. Yan, and H. Q. Zhang, Phys. Lett. A 307, 107 (2003).
19. S. M. El-Sayed and D. Kaya, Appl. Math. Comput. 157, 523 (2004).
20. A. S. A. Rady, E. S. Osmana, and M. Khalfallah, Appl. Math. Comput.