New soliton solutions of the generalized Zakharov equations using He's variational approach

Applied Mathematics Letters

Volumn 24, Issue 6, 2011, Pages 965-968

  Khan, Yasir ^a   Faraz, Naeem ^b   Yildirim, Ahmet ^c  

^a ZHEJIANG UNIVERSITY   (China)

^b DONGHUA UNIVERSITY   (China)

^c EGE UNIVERSITY   (Turkey)

Author keywords

Generalized Zakharov equation (GZE); Solitary solution; Variational principle

Indexed keywords

GENERALIZED-ZAKHAROV EQUATIONS; SOLITARY SOLUTION; SOLITARY SOLUTIONS; SOLITON SOLUTIONS; VARIATIONAL APPROACHES; VARIATIONAL PRINCIPLE;

MECHANICAL WAVES; VARIATIONAL TECHNIQUES;

SOLITONS;

EID: 79952453682     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2011.01.006     Document Type: Article

References (20)

1. J.H. He Variational principles for some nonlinear partial differential equations with variable coefficients Chaos Solitons Fractals 19 4 2004 847 851
2. J.H. He, and X.H. Wu Exp-function method for nonlinear wave equations Chaos Solitons Fractals 30 3 2006 700 708
3. J.H. He Application of homotopy perturbation method to nonlinear wave equations Chaos Solitons Fractals 26 3 2005 695 700
4. J.H. He, and X.H. Wu Construction of solitary solution and compacton-like solution by variational iteration method Chaos Solitons Fractals 29 1 2006 108 113
5. J.H. He Some asymptotic methods for strongly nonlinear equations Internat. J. Modern Phys. B 20 10 2006 1141 1199
6. T. zis, and A. Yldrm Application of He's semi-inverse method to the nonlinear Schrdinger equation Comput. Math. Appl. 54 2007 1039 1042
7. Z.L. Tao Variational approach to the Benjamin Ono equation Nonlinear Anal. RWA 10 3 2009 1939 1941
8. Y.H. Ye, and L.F. Mo He's variational method for the BenjaminBonaMahony equation and the Kawahara equation Comput. Math. Appl. 2009 10.1016/j.camwa. 2009.03.026
9. J. Zhang Variational approach to solitary wave solution of the generalized Zakharov equation Comput. Math. Appl. 54 2007 1043 1046 (Pubitemid 47488819)
10. Yadong Shang, Yong Huang, and Wenjun Yuan The extended hyperbolic functions method and new exact solutions to the Zakharov equations Appl. Math. Comput. 200 1 2008 110 122
11. M. Javidi, and A. Golbabai Exact and numerical solitary wave solutions of generalized Zakharov equation by the variational iteration method Chaos Solitons Fractals 36 2 2008 309 313 (Pubitemid 47588891)
12. M. Omidvar, A. Barari, M. Momeni, and D.D. Ganji New class of solutions for water infiltration problems in unsaturated soils Int. J. Geomech. Geoeng. 5 2010 127 135
13. M.G. Sfahani, S.S. Ganji, A. Barari, H. Mirgolbabaei, and G. Domairry Analytical solutions to nonlinear conservative oscillator with fifth-order non-linearity Earthq. Eng. Eng. Vib. 9 3 2010 367 374
14. J.H. He Erratum to: variational principle for two-dimensional incompressible inviscid flow Phys. Lett. A 372 2008 5858 5859
15. V.E. Zakharov, and E.A. Kuznetsov On three-dimensional solitons Sov. Phys. JETP 39 1974 285 286
16. D.J. Korteweg, and G. de Vries On the change of form of long waves advancing in a rectangular channel, and a new type of long stationary waves Phil. Mag. 5 39 1895 422 443
17. B.B. Kadomtsev, and V.I. Petviashvilli On the stability of solitary waves in weakly dispersing media Sov. Phys. Dokl. 15 1970 539 541
18. R.H.J. Grimshaw, and Y. Zhu Oblique interaction between internal solitary waves Stud. Appl. Math. 92 1994 249 (Pubitemid 24831165)
19. J.H. He An elementary introduction of recently developed asymptotic methods and nanomechanics in textile engineering Internat. J. Modern Phys. B 22 21 2008 3487 4578
20. J.H. He, and E.W.M. Lee A constrained variational principle for heat conduction Phys. Lett. A 373 2009 2614 2615