N-soliton solution and its Wronskian form of a (3 + 1)-dimensional nonlinear evolution equation

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

Volumn 369, Issue 4, 2007, Pages 285-289

  Geng, Xianguo ^a   Ma, Yunling ^a,b  

^a ZHENGZHOU UNIVERSITY   (China)

^b SHANGQIU NORMAL UNIVERSITY   (China)

Author keywords

(3 + 1) dimensional nonlinear evolution equation; Bilinear form; N soliton solution; Wronskian form

Indexed keywords

PERTURBATION TECHNIQUES; SOLITONS;

BILINEAR FORM; HIROTA BILINEAR METHODS; LINEAR DIFFERENTIAL EQUATION; N-SOLITON SOLUTIONS; NONLINEAR EVOLUTION EQUATION;

NONLINEAR EQUATIONS;

EID: 34548541360     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2007.04.099     Document Type: Article

References (19)

1. Ablowitz M.J., and Segur H. Solitons and the Inverse Scattering Transform (1981), SIAM, Philadelphia
2. Novikov S.P., Manakov S.V., Pitaevskii L.P., and Zakharov V.E. Theory of Solitons, The Inverse Scattering Methods (1984), Consultants Bureau, New York
3. Wadati M. J. Phys. Soc. Jpn. 34 (1973) 1289
4. Matveev V.B., and Salle M.A. Darboux Transformations and Solitons (1991), Springer, Berlin
5. Gu C.H. Soliton Theory and Its Application (1995), Springer, Berlin
6. Levi D. Inverse Problems 4 (1988) 165
7. Hirota R. Phys. Rev. Lett. 27 (1971) 1192
8. Hirota R., and Satsuma J. Prog. Theor. Phys. 57 (1977) 797
9. Hirota R. The Direct Methods in Soliton Theory (2004), Cambridge Univ. Press
10. Belokolos E.D., Bobenko A.I., Enol'skii V.Z., Its A.R., and Matveev V.B. Algebro-Geometric Approach to Nonlinear Integrable Equations (1994), Springer, Berlin
11. Cao C.W., Wu Y.T., and Geng X.G. J. Math. Phys. 40 (1999) 3948
12. Geng X.G., and Cao C.W. Nonlinearity 14 (2001) 1433
13. Airault H., McKean H.P., and Moser J. Commun. Pure Appl. Math. 30 (1977) 95
14. Strampp W., Oevel W., and Steeb W.-H. Lett. Math. Phys. 7 (1983) 445
15. Gesztesy F., and Schweiger W. Rep. Math. Phys. 30 (1991) 205
16. Satsuma J. J. Phys. Soc. Jpn. 46 (1979) 359
17. Freeman N.C., and Nimmo J.J.C. Phys. Lett. A 95 (1983) 1
18. Hirota R., and Ohta Y. J. Phys. Soc. Jpn. 60 (1991) 798
19. Geng X.G. J. Phys. A: Math. Gen. 36 (2003) 2289