Exact periodic-wave solutions for (2+1)-dimensional Boussinesq equation and (3+1)-dimensional KP equation

Communications in Theoretical Physics

Volumn 42, Issue 2, 2004, Pages 239-241

  Zhao, Qiang ^a   Liu, Shi Kuo ^a   Fu, Zun Tao ^a  

^a PEKING UNIVERSITY   (China)

Author keywords

(2+1) dimensional Boussinesq equation; (3+1) dimensional KP equation; Jacobi elliptic function method; Periodic wave solutions

Indexed keywords

EID: 4444255456     PISSN: 02536102     EISSN: None     Source Type: Journal    
DOI: 10.1088/0253-6102/42/2/239     Document Type: Article

References (24)

1. M.J. Ablowitz and P.A. Clarkson, Soliton, Nonlinear Evolution Equations and Inverse Scattering Transform, Cambridge University Press, Cambridge (1990).
2. B.G. Konopelchenko, Solitons in Multidimensions, World Scientific, Singapore (1993).
3. M. Lakshmanan, R. Radha, and Pramana, J. Phys. 48 (1997) 163 (and references therein).
4. E.J. Parkes and B.R. Duffy, Phys. Lett. A229 (1997) 217.
5. C. Yan and B.R. Duffy, Phys. Lett. A224 (1996) 77.
6. M.L. Wang, Phys. Lett. A199 (1995) 169.
7. M.L. Wang, Phys. Lett. A213 (1996) 279.
8. E. Fan and H. Zhang, Phys. Lett. A246 (1998) 403.
9. G. Paquin and P. Winternitz, Physica D46 (1990) 122 (and references therein).
10. M. Faucher and P. Winternitz, Phys. Rev. E48 (1993) 3066.
11. M. Senthilvelan and M. Lakshmanan, J. Nonlinear Math. Phys. 5 (1998) 190.
12. S. Liu, Z. Fu, S. Liu, and Q. Zhao, Phys. Lett. A289 (2001) 69.
13. Z. Fu, S. Liu, S. Liu, and Q. Zhao, Phys. Lett. A290 (2001) 72.
14. E.J. Parkes, B.R. Duffy, and P.C. Abbott, Phys. Lett. A295 (2002) 280.
15. M. Senthilvelan, Appl. Math. Comput. 123 (2001) 381.
16. Y. Chen, Z.Y. Yan, and H.Q. Zhang, Phys. Lett. A307 (2003) 107.
17. R.S. Johnson, J. Fluid Mech. 323 (1996) 65.
18. F. Cooper, A. Khare, and U. Sukhatme J. Phys. A: Math. Gen. 35 (2002) 10085.
19. A. Khare, and U. Sukhatme, J. Math. Phys. 43 (2002) 3798.
20. A. Khare and U. Sukhatme, preprint math-ph/0204054 2002.
21. R.Sl. Johnson, J. Fluid Mech. 97 (1980) 701.
22. V.E. Zakharov and E.M. Kuznetsov, Soviet Phys. JEPT 39 (1974) 285.
23. B.K. Shivamoggi, D.K. Rollins, and R. Fanjul, Phys. Scripta 47 (1993) 15.
24. Y.S. Kivshar and D.E. Pelinovsky, Phys. Reports (2000) 117) and references therein).