A new algebraic method for finding the line soliton solutions and doubly periodic wave solution to a two-dimensional perturbed KdV equation

Chaos, Solitons and Fractals

Volumn 15, Issue 3, 2003, Pages 567-574

  Fan, Enguiu ^a   Hon, Y C ^b  

^a FUDAN UNIVERSITY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; LINEAR ALGEBRA; MATHEMATICAL TRANSFORMATIONS; NONLINEAR EQUATIONS; SHOCK WAVES;

PERIODIC WAVE SOLUTIONS;

SOLITONS;

EID: 0037289952     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(02)00146-7     Document Type: Article

References (26)

1. Ablowitz M.J., Segur H. Soliton and the inverse scattering transformation. 1981; SIAM, Philadelphia, PA.
2. Matveev V.B., Salle M.A. Darboux transformation and solitons. 1991;Springer, Berlin.
3. Gu C.H., Hu H.S., Zhou Z.X. Darboux transformations in soliton theory and its geometric applications. 1999;Shanghai Science and Technology Publisher, Shanghai.
4. Leble S.B., Ustinov N.V. J. Phys. A. 26:1993;5007.
5. Esteevez P.G. J. Math. Phys. 40:1999;1406.
6. Dubrousky V.G., Konopelchenko B.G. J. Phys. A. 27:1994;4619.
7. Neugebauer G., Kramerl D. J. Phys. A. 16:1983;1927.
8. Fan E.G. J. Math. Phys. 42:2001;4327.
9. Hirota R., Satsuma J. Phys. Lett. A. 85:1981;407.
10. Satsuma J., Hirota R. J. Phys. Soc. Jpn. 51:1982;332.
11. Tam H.W., Ma W.X., Hu X.B., Wang D.L. J. Phys. Soc. Jpn. 69:2000;45.
12. Belokolos E., Bobenko A., Enol'skij V., Its A., Matveev V. Algebro-geometrical approach to nonlinear integrable equations. 1994;Springer-Verlag, Berlin.
13. Alber M.S., Fedorov Y.N. Inverse Probl. 17:2001;1017.
14. Novikov D.P. Math. J. 40:1999;136.
15. Cao C.W., Geng X.G., Wang H.Y. J. Math. Phys. 43:2002;621.
16. Malfliet W. Am. J. Phys. 60:1992;650.
17. Hereman W., Banerjee P.P., Korpel A., Assanto G., Van Immerzeele A., Meerpoel A. J. Phys. A. 19:1986;607.
18. Hereman W. Comput. Phys. Commun. 65:1991;143.
19. Parkes E.J., Duffy B.R. Comput. Phys. Commun. 98:1996;288.
20. Fan E.G. Phys. Lett. A. 277:2000;212.
21. Fan E.G. Comput. Math. Appl. 43:2002;671-680.
22. Akhiezer N.L. Elements of theory of elliptic functions. 1990;American Mathematical Society, Providence, RI.
23. Wang Z.X., Xia X.J. Special functions. 1989;World Scientific, Singapore.
24. Ma W.X., Fuchssteiner B. Phys. Lett. A. 213:1996;49.
25. Sakovich S.Y. J. Nonlin. Math. Phys. 5:1998;230.
26. Chan W.L., Li K.S. J. Math. Phys. 30:1989;2521.