Symbolic computation and construction of soliton-like solutions of some nonlinear evolution equations

Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

Volumn 58, Issue 2-3, 2003, Pages 167-175

  Xuan, Heng Nong ^a   Li, Biao ^b  

^a NANJING UNIVERSITY   (China)

^b DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

CKdV Equation; Generalized Riccati Equation Expansion Method; PKP Equation; Soliton; Soliton like Solutions; Symbolic Computation; Two dimensional KdV Burgers Equation

Indexed keywords

EID: 0037731913     PISSN: 09320784     EISSN: None     Source Type: Journal    
DOI: 10.1515/zna-2003-2-315     Document Type: Article

References (26)

1. C. S. Gardner, J. M. Green, M. D. Kruskal, and R. M. Miura, Phys. Rev. Lett. 19 (1967) 1095.
2. M. J. Ablowitz and P. A. Clarkson, Soliton, Nonlinear Evolution Equations and Inverse Scattering. Cambridge University Press, New York 1991.
3. C. H. Gu, Soliton Theory and its Application, Zhejiang Science and Technology Press, Zhejiang 1990.
4. R. Hirota, Phys. Rev. Lett. 27, 1192 (1971).
5. W. P. Hong and Y. D. Jung, Z. Naturforsch. 54a, 549 (1999).
6. E. J. Parkes, B. R. Duffy, Comput. Phys. Commun. 98, 288 (1996).
7. E. J. Parkes and B. R. Duffy, Phys. Lett. A 229, 217 (1997).
8. Z. B. Li and M. L. Wang, J. Phys. A: Math. Gen. 26, 6027 (1993).
9. E. J. Parkes, J. Phys. A: Math. Gen. 27, L497 (1994).
10. A. H. Khater, W. Malfiet, D. K. Callebaut, and E. S. Kamel, Chaos, Solitons, and Fractals 14, 513 (2002).
11. E. Fan, Phys. Lett. A 277, 212 (2000).
12. E. Fan, Z. Naturforsch. 56a, 312 (2001).
13. E. Fan, J. Zhang, and Y. C. Benny, Phys. Lett. A 291, 376 (2001).
14. Z. Y. Yan, Phys. Lett. A 292, 100 (2001).
15. Z. Y. Yan, Z. Naturforsch. 56a, 809 (2002).
16. Z. Y. Yan, H. Q. Zhang, Phys. Lett. A 285, 355 (2001).
17. S. A. Elwakil, S. K. El-labany, M. A. Zahran, and R. Sabry, Phys. Lett. A 299, 179 (2002).
18. Y. T. Gao and B. Tian, Comput. Phys. Commun. 133, 158 (2001).
19. B. Tian and Y. T. Gao, Z. Naturforsch. 57a, 39 (2002).
20. Y. Chen, B. Li, and H. Q. Zhang, Commun. Theor. Phys. (Beijing, China) 38, 261 (2002).
21. B. Li, Y. Chen, and H. Q. Zhang, J. Phys. A: Math. Gen. 35, 8253 (2002).
22. B. Li, Y. Chen, and H. Q. Zhang, Chaos, Solitons, and Fractals 15, 647 (2003).
23. B. Li, Y. Chen, and H. Q. Zhang, Z. Naturforsch. 57a, 874 (2002).
24. M. Senthilvelan, Appl. Math. Comput. 123, 381 (2001).
25. W. X. Ma, J. Phys. A: Math. Gan. 26, L17 (1993).
26. M. L. Wang, Y. B. Zhou, and Z. B. Li, Phys. Lett. A 216, 67 (1996).