Variational approach to solitary wave solution of the generalized Zakharov equation

Computers and Mathematics with Applications

Volumn 54, Issue 7-8, 2007, Pages 1043-1046

  Zhang, Juan ^a  

^a DONGHUA UNIVERSITY   (China)

Author keywords

Generalized Zakharov equations; Plasma; Semi inverse method; Solitary wave solution; Variational principle

Indexed keywords

INVERSE PROBLEMS; PLASMAS; VARIATIONAL TECHNIQUES;

GENERALIZED ZAKHAROV EQUATIONS; SEMI-INVERSE METHOD; SOLITARY WAVE SOLUTION; VARIATIONAL PRINCIPLE;

SOLITONS;

EID: 34748816175     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2006.12.048     Document Type: Article

References (30)

1. Malomed B., Anderson D., Lisak M., and Quiroga-Teixeiro M.L. Dynamics of solitary waves in the Zakharov model equations. Phys. Rev. E 55 (1977) 962-968
2. Zakharov V.E. Collapse of Langmuir waves. Zh. Eksp. Teor. Fiz. 62 (1972) 1745-1751
3. Huang W.H. A polynomial expansion method and its application in the coupled Zakharov-Kuznetsov equations. Chaos Solitons Fractals 29 2 (2006) 365-371
4. Xu G. The soliton solutions, dromions of the Kadomtsev-Petviashvili and Jimbo-Miwa equations in (3+1)-dimensions. Chaos Solitons Fractals 30 1 (2006) 71-76
5. Zhao H., and Bai C.L. New doubly periodic and multiple soliton solutions of the generalized (3+1)-dimensional Kadomtsev-Petviashvilli equation with variable coefficients. Chaos Solitons Fractals 30 1 (2006) 217-226
6. Ding H.Y., Sun Y.P., and Xu X.X. A hierarchy of nonlinear lattice soliton equations, its integrable coupling systems and infinitely many conservation laws. Chaos Solitons Fractals 30 1 (2006) 227-234
7. Konar S., Mishra M., and Jana S. The effect of quintic nonlinearity on the propagation characteristics of dispersion managed optical solitons. Chaos Solitons Fractals 29 4 (2006) 823-828
8. Uthayakumar A., Han Y.G., and Lee S.B. Soliton solutions of coupled inhomogeneous nonlinear Schrodinger equation in plasma. Chaos Solitons Fractals 29 4 (2006) 916-919
9. Moslem W.M. Dust-ion-acoustic solitons and shocks in dusty plasmas. Chaos Solitons Fractals 28 4 (2006) 994-999
10. Wazwaz A.M. Compactons, solitons and periodic solutions for some forms of nonlinear Klein-Gordon equations. Chaos Solitons Fractals 28 4 (2006) 1005-1013
11. de Oliveira G.I., and Rizzato F.B. Nonlinear spatiotemporal stability of solitons against external perturbations. Chaos Solitons Fractals 28 5 (2006) 1347-1355
12. Ye J.F., Zheng C.L., and Xie L.S. Exact solutions and localized excitations of general Nizhnik-Novikov-Veselov system in (2+1)-dimensions via a projective approach. Int. J. Nonlinear Sci. Numer. Simul. 7 2 (2006) 203-208
13. He J.H., and Wu X.H. Exp-function method for nonlinear wave equations. Chaos Solitons Fractals 30 3 (2006) 700-708
14. He J.H. Application of homotopy perturbation method to nonlinear wave equations. Chaos Solitons Fractals 26 3 (2005) 695-700
15. 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
16. He J.H. Approximate solution of nonlinear differential equations with convolution product nonlinearities. Comput. Meth. Appl. Mech. Eng. 167 12 (1998) 69-73
17. He J.H. Approximate analytical solution for seepage flow with fractional derivatives in porous media. Comput. Meth. Appl. Mech. Eng. 167 12 (1998) 57-68
18. He J.H. Variational iteration method-a kind of non-linear analytical technique: Some examples. Int. J. Nonlinear Mech. 34 4 (1999) 699-708
19. Odibat Z.M., and Momani S. Application of variational iteration method to nonlinear differential equations of fractional order. Int. J. Nonlinear Sci. Numer. Simul. 7 1 (2006) 27-34
20. Bildik N., and Konuralp A. The use of variational iteration method, differential transform method and Adomian decomposition method for solving different types of nonlinear partial differential equations. Int. J. Nonlinear Sci. Numer. Simul. 7 1 (2006) 65-70
21. Momani S., and Abuasad S. Application of He's variational iteration method to Helmholtz equation. Chaos Solitons Fractals 27 5 (2006) 1119-1123
22. D'Acunto M. Self-excited systems: Analytical determination of limit cycles. Chaos Solitons Fractals 30 3 (2006) 719-724
23. D'Acunto M. Determination of limit cycles for a modified van der Pol oscillator. Mech. Res. Comm. 33 1 (2006) 93-98
24. He J.H. Some asymptotic methods for strongly nonlinear equations. Internat. J. Modern Phys. B 20 10 (2006) 1141-1199
25. J.H. He, Non-perturbative methods for strongly nonlinear problems, Berlin: dissertation.de-Verlag im Internet GmbH, 2006
26. He J.H. Variational principles for some nonlinear partial differential equations with variable coefficients. Chaos Solitons Fractals 19 4 (2004) 847-851
27. He J.H. Variational theory for one-dimensional longitudinal beam dynamics. Phys. Lett. A 352 4-5 (2006) 276-277
28. He J.H. Variational approach to (2+1)-dimensional dispersive long water equations. Phys. Lett. A 335 2-3 (2005) 182-184
29. Zhang J., Yu J.Y., and Pan N. Variational principles for nonlinear fiber optics. Chaos Solitons Fractals 24 1 (2005) 309-311
30. 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