Backlund transformation and exact solutions for Whitham-Broer-Kaup equations in shallow water

Applied Mathematics and Mechanics (English Edition)

Volumn 19, Issue 8, 1998, Pages 713-716

  Engui, Fan ^a   Hongqing, Zhang ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Backlund transformation; Exact solution; Solitary wave solution; WBK equation

Indexed keywords

NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; SOLITONS;

BACKLUND TRANSFORMATION; SHALLOW WATER WAVES; SOLITARY WAVE; WBK EQUATION;

WATER WAVES;

EID: 0032217564     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02457745     Document Type: Article

References (7)

1. G. B. Whitham, Variational methods and applications to water wave, Proc. Roy. Soc. London, Ser. A, 299 (1456) (1967), 6-25.
2. L. J. Broer, Approximate equations for long water waves, Appl. Sci. Res., 31, 5 (1975). 377-395.
3. D. J. Kaup, A higher-order water wave equation and method for solving it, Prog. Theor. Phys., 54, 2 (1975), 396-408.
4. B. A. Kapershmidt, Mathematics of dispersive water waves. Comm. Math. Phys., 99, 1 (1985). 51-73.
5. M. J. Ablowitz, Soliton, Nonlinear Evolution Equations and Inverse Scatting, Cambridge University Press (1991).
6. H. Q. Zhang and F. X. Wu, Mechanical method to construct the general solution for system of partial differential equations, Proc. 1992 Inter. Workshop Math. Mech., Beijing, International Academic (1992), 280-285.
7. Guo Boling, Soliton, Science Press (1987). (in Chinese)