Variational approach to higher-order water-wave equations

Chaos, Solitons and Fractals

Volumn 32, Issue 1, 2007, Pages 195-198

  Wu, Yue ^a  

^a DONGHUA UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

INVERSE PROBLEMS; NUMERICAL METHODS; PROBLEM SOLVING;

SEMI-INVERSE METHOD; VARIATIONAL APPROACH; WATER-WAVE EQUATIONS;

WAVE EQUATIONS;

EID: 33748560163     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.05.019     Document Type: Article

References (25)

1. Yan Z. An improved algebra method and its applications in nonlinear wave equations. Chaos, Solitons & Fractals 21 4 (2004) 1013-1021
2. He J.H. Some asymptotic methods for strongly nonlinear equations. Int J Mod Phys B 20 10 (2006) 1141-1199
3. Zheng C.L., Fang J.P., and Chen L.Q. New variable separation excitations of (2+1)-dimensional dispersive long-water wave system obtained by an extended mapping approach. Chaos, Solitons & Fractals 23 5 (2005) 1741-1748
4. Zhang Z., Bi Q., and Wen J. Bifurcations of traveling wave solutions for two coupled variant Boussinesq equations in shallow water waves. Chaos, Solitons & Fractals 24 2 (2005) 631-643
5. Purkait S., and Chowdhury A.R. On a different approach to bi-Hamiltonian structure of higher-order water-wave equations. J Phys A: Math Gen 23 (1990) L591-L597
6. He J.H. Semi-inverse method of establishing generalized variational principles for fluid mechanics with emphasis on turbomachinery aerodynamics. Int J Turbo & Jet-Engines 14 1 (1997) 23-28
7. He J.H. Variational approach to (2+1)-dimensional dispersive long water equations. Phys Lett A 335 2-3 (2005) 182-184
8. He J.H. A generalized variational principle in micromorphic thermoelasticity. Mechanics Research Communications 32 1 (2005) 93-98
9. He J.H. Variational principle for non-Newtonian lubrication: Rabinowitsch fluid model. Applied Mathematics And Computation 157 1 (2004) 281-286
10. He J.H., and Liu H.M. Variational approach to diffusion reaction in spherical porous catalyst. Chem Eng Technol 27 4 (2004) 376-377
11. He J.H., Liu H.M., and Pan N. Variational model for ionomeric polymer-metal composite. Polymer 44 26 (2003) 8195-8199
12. He J.H. Variational principles for some nonlinear partial differential equations with variable coefficients. Chaos Solitons & Fractals 19 4 (2004) 847-851
13. He J.H. A family of variational principles for linear micromorphic elasticity. Comput Struct 81 21 (2003) 2079-2085
14. He J.H. A variational approach to the Burridge-Knopoff equation. Appl Math Comput 144 1 (2003) 1-2
15. He J.H. Variational principle for nano thin film lubrication. Int J Nonlinear Sci Numer Simul 4 3 (2003) 313-314
16. He J.H. Variational approach to the Thomas-Fermi equation. Appl Math Comput 143 2-3 (2003) 533-535
17. He J.H. Variational approach to the Lane-Emden equation. Appl Math Comput 143 2-3 (2003) 539-541
18. He J.H. Determination of limit cycles for strongly nonlinear oscillators. Phys Rev Lett 90 17 (2003) Art. No. 174301
19. Hao T.H. Search for variational principles in electrodynamics by Lagrange method. Int J Nonlinear Sci Numer Simul 6 2 (2005) 209-210
20. Hao T.H. Application of Lagrange multiplier method to the search for variational principles of nonlinear electrostrictive materials. Int J Nonlinear Sci Numer Simul 4 3 (2003) 307-310
21. Hao T.H. Application of the Lagrange multiplier method the semi-inverse method to the search for generalized variational principle in quantum mechanics. Int J Nonlinear Sci Numer Simul 4 3 (2003) 311-312
22. Momani S., and Abuasad S. Application of He's variational iteration method to Helmholtz equation. Chaos Solitons & Fractals 27 5 (2006) 1119-1123
23. Zhang J., Yu J.Y., and Pan N. Variational principles for nonlinear fiber optics. Chaos Solitons & Fractals 24 1 (2005) 309-311
24. Liu H.M. Generalized variational principles for ion acoustic plasma waves by He's semi-inverse method. Chaos Solitons & Fractals 23 2 (2005) 573-576
25. Liu H.M., and He J.H. Variational approach to chemical reaction. Comput Chem Eng 28 9 (2004) 1549