New explicit solitary wave solutions for (2 + 1)-dimensional Boussinesq equation and (3 + 1)-dimensional KP equation

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

Volumn 307, Issue 2-3, 2003, Pages 107-113

  Chen, Yong ^a   Yan, Zhenya ^a   Zhang, Honging ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Boussinesq equation; HBM; KP equation; Periodic wave solution; Riccati equation; Solitary wave solution

Indexed keywords

PARTIAL DIFFERENTIAL EQUATIONS; RICCATI EQUATIONS; SOLITONS; WATER WAVES;

BOUSSINESQ EQUATIONS; EXPLICIT EXACT SOLUTIONS; GENERALIZED TRANSFORMATION; HOMOGENEOUS BALANCE METHOD; KP EQUATION; PERIODIC WAVE SOLUTIONS; SOLI-TARY WAVE SOLUTIONS;

COASTAL ENGINEERING;

ARTICLE; CALCULATION; MATHEMATICAL MODEL; TECHNIQUE; THEORY;

EID: 2042523036     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(02)01668-7     Document Type: Article

References (21)

1. M.J. Ablowitz, P.A. Clarkson, Soliton, Nonlinear Evolution Equations and Inverse Scatting, Cambridge Univ. Press, New York, 1991.
2. C.H. Gu, et al., Soliton Theory and its Application, Zhejiang Science and Technology Press, Zhejiang, 1990.
3. D. Cox, et al., Ideal, Varieties and Algorithms, Springer-Verlag, New York, 1991.
4. M.J. Ablowitz, et al., J. Math. Phys. 30 (1989) 2202.
5. C.T. Yan, Phys. Lett. A 224 (1996) 77.
6. M.L. Wang, Phys. Lett. A 216 (1996) 67.
7. M.L. Wang, Phys. Lett. A 199 (1995) 169.
8. Z.Y. Yan, H.Q. Zhang, Phys. Lett. A 252 (1999) 291.
9. Z.Y. Yan, H.Q. Zhang, Appl. Math. Mech. 21 (2000) 382.
10. W.X. Ma, et al., Int. J. Non-Linear Mech. 31 (1996) 329.
11. E.G. Fan, H.Q. Zhang, Appl. Math. Mech. 19 (1998) 713.
12. M. Lakshmana, R. Raadha, Pramana J. Phys. 48 (1997) 162, and references therein.
13. E. Fan, H. Zhang, Phys. Lett. A 245 (1998) 389.
14. G.B. Whitham, Proc. R. Soc. London, Ser. A 299 (1967) 6.
15. E. Fan, H. Zhang, Phys. Lett. A 246 (1998) 403.
16. M. Senthilvelan, Appl. Math. Comput. 123 (2001) 381.
17. Z.Y. Yan, H.Q. Zhang, Phys. Lett. A 285 (2001) 355.
18. W. Wu, Kexue Tongbao 31 (1986) 1.
19. W. Wu, in: D.Z. Du, et al. (Eds.), Algorithams and Computation, Springer, Berlin, 1994, p. 1.
20. M.A. Allen, G. Rowlands, Phys. Lett. A 235 (1997) 145.
21. M. Chen, Appl. Math. Lett. 11 (1998) 45.