He's variational method for the Benjamin-Bona-Mahony equation and the Kawahara equation

Computers and Mathematics with Applications

Volumn 58, Issue 11-12, 2009, Pages 2420-2422

  Ye, Yan Hai ^a   Mo, Lu Feng ^a  

^a ZHEJIANG A F UNIVERSITY   (China)

Author keywords

BBM equation; Kawahara equation; Solitary solution; Variational principle

Indexed keywords

BBM EQUATION; BENJAMIN-BONA-MAHONY EQUATION; KAWAHARA EQUATION; RITZ METHODS; SEMI INVERSE METHODS; SOLITARY SOLUTION; SOLITARY SOLUTIONS; VARIATIONAL METHODS; VARIATIONAL PRINCIPLE; VARIATIONAL PRINCIPLES;

HELIUM; INVERSE PROBLEMS; NONLINEAR EQUATIONS;

VARIATIONAL TECHNIQUES;

EID: 70350572281     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2009.03.026     Document Type: Article

References (18)

1. Wadati M. J. Phys. 57 5-6 (2001) 841
2. Wadati M. J. Phys. Soc. Japan 32 (1972) 1681
3. Bridges T., and Derks G. SIAM J. Math. Anal. 33 6 (2002) 1356
4. Berloff N.G., and Howard L.N. Stud. Appl. Math. 99 (1997) 1
5. Ablowitz M.J., and Clarkson P.A. Solitons. Nonlinear Evolution Equations and Inverse Scattering Transform (1990), Cambridge University Press, Cambridge
6. He J.-H., and Wu X.-H. Exp-function method for nonlinear wave equations. Chaos Solitons Fractals 30 3 (2006) 700-708
7. Yusufoglu E. New solitonary solutions for the MBBM equations using Exp-function method. Phys. Lett. A 372 (2008) 442-446
8. Yusufoglu E., and Bekir A. The variational iteration method for solitary patterns solutions of gBBM equation. Phys. Lett. A 367 (2007) 461-464
9. He J.H., and Wu X.H. Construction of solitary solution and compacton-like solution by variational iteration method. Chaos Solitons Fractals 29 1 (2006) 108-113
10. He J.-H. Application of homotopy perturbation method to nonlinear wave equations. Chaos Solitons Fractals 26 3 (2005) 695-700
11. Tari H., and Ganji D.D. Approximate explicit solutions of nonlinear BBMB equations by He's methods and comparison with the exact solution. Phys. Lett. A 367 (2007) 95-101
12. He J.H. Internat. J. Modern Phys. B 20 10 (2006) 1141
13. J.H. He, Non-perturbative methods for strongly nonlinear problems, dissertation. de-Verlag im Internet GmbH, Berlin, 2006
14. Tao Z.L. Appl. Math. Acta. 100 (2008) 291
15. Tao Z.-L. Variational approach to the Benjamin Ono equation. Nonlinear Analysis: RWA 10 3 (2009) 1939-1941
16. Ozis T., and Yidirim A. Application of He's semi-inverse method to the nonlinear Schrodinger equation. Comput. Math. Appl. 54 (2007) 1039-1042
17. Zhang J. Variational approach to solitary wave solution of the generalized Zakharov equation. Comput. Math. Appl. 54 (2007) 1043-1046
18. He J.H. Variational principles for some nonlinear partial differential equations with variable coefficients. Chaos Solitons Fractals 19 4 (2004) 847-851