메뉴 건너뛰기




Volumn 207, Issue 1, 2007, Pages 155-163

Variational iteration method for solving cubic nonlinear Schrödinger equation

Author keywords

Cubic nonlinear Schr dinger equation; Variational iteration method

Indexed keywords

ITERATIVE METHODS; NONLINEAR EQUATIONS; PROBLEM SOLVING; VARIATIONAL TECHNIQUES;

EID: 34250631975     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2006.07.023     Document Type: Article
Times cited : (38)

References (24)
  • 1
    • 34250622354 scopus 로고    scopus 로고
    • M.A. Abdou, A.A. Soliman, Variational iteration method for solving Burger's and coupled Burger's equations, J. Comput. Appl. Math. (2004) 1-7.
  • 2
    • 27144467065 scopus 로고    scopus 로고
    • New applications of variational iteration method
    • Abdou M.A., and Soliman A.A. New applications of variational iteration method. Physica D 211 (2005) 1-8
    • (2005) Physica D , vol.211 , pp. 1-8
    • Abdou, M.A.1    Soliman, A.A.2
  • 4
    • 0023306712 scopus 로고
    • An engineer's guide to solitons phenomena: application of the finite element method
    • Argyris J., and Haase M. An engineer's guide to solitons phenomena: application of the finite element method. Comput. Methods Appl. Mech. Eng. 61 (1987) 71-122
    • (1987) Comput. Methods Appl. Mech. Eng. , vol.61 , pp. 71-122
    • Argyris, J.1    Haase, M.2
  • 5
    • 31144469342 scopus 로고    scopus 로고
    • Instabilities of one-dimensional trivial-phase solutions of the two-dimensional cubic nonlinear Schrödinger equation
    • Carter J.D., and Deconinck B. Instabilities of one-dimensional trivial-phase solutions of the two-dimensional cubic nonlinear Schrödinger equation. Physica D 214 (2006) 42-54
    • (2006) Physica D , vol.214 , pp. 42-54
    • Carter, J.D.1    Deconinck, B.2
  • 8
    • 4544372221 scopus 로고    scopus 로고
    • On the numerical solution of the system of two-dimensional Burger's equations by the decomposition method
    • El-Sayed S.M., and Kaya D. On the numerical solution of the system of two-dimensional Burger's equations by the decomposition method. Appl. Math. Comput. 158 (2004) 101-109
    • (2004) Appl. Math. Comput. , vol.158 , pp. 101-109
    • El-Sayed, S.M.1    Kaya, D.2
  • 9
    • 34250617785 scopus 로고    scopus 로고
    • Th. Famelis, A.G. Bratsos, A solution of the cubic Schrödinger equation using the Adomian decomposition method, preprint, available in 〈www.aueb.gr/pympe/hercma/proceedings2005/H05-ABSTRACTS-1/PAPADOPOULOS-FAMELIS-BRATSOS-1.pdf〉.
  • 10
    • 27644512464 scopus 로고    scopus 로고
    • New singular solutions of the nonlinear Schrödinger equation
    • Fibich G., Gavish N., and Wang X. New singular solutions of the nonlinear Schrödinger equation. Physica D 211 (2005) 193-220
    • (2005) Physica D , vol.211 , pp. 193-220
    • Fibich, G.1    Gavish, N.2    Wang, X.3
  • 11
    • 0032307661 scopus 로고    scopus 로고
    • Approximate analytical solution for seepage flow with fractional derivatives in porous media
    • He J.H. Approximate analytical solution for seepage flow with fractional derivatives in porous media. Comput. Methods Appl. Mech. Eng. 167 (1998) 57-68
    • (1998) Comput. Methods Appl. Mech. Eng. , vol.167 , pp. 57-68
    • He, J.H.1
  • 12
    • 0032308350 scopus 로고    scopus 로고
    • Approximate solution of nonlinear differential equations with convolution product nonlinearities
    • He J.H. Approximate solution of nonlinear differential equations with convolution product nonlinearities. Comput. Methods Appl. Mech. Eng. 167 (1998) 69-73
    • (1998) Comput. Methods Appl. Mech. Eng. , vol.167 , pp. 69-73
    • He, J.H.1
  • 13
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration method-a kind of non-linear analytical technique: some examples
    • He J.H. Variational iteration method-a kind of non-linear analytical technique: some examples. Internat. J. Non-Linear Mech. 34 (1999) 699-708
    • (1999) Internat. J. Non-Linear Mech. , vol.34 , pp. 699-708
    • He, J.H.1
  • 14
    • 0040184009 scopus 로고    scopus 로고
    • Variational iteration method for autonomous ordinary differential systems
    • He J.H. Variational iteration method for autonomous ordinary differential systems. Appl. Math. Comput. 114 (2000) 115-123
    • (2000) Appl. Math. Comput. , vol.114 , pp. 115-123
    • He, J.H.1
  • 15
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • He J.H. Some asymptotic methods for strongly nonlinear equations. Internat. J. Modern Phys. B 20 10 (2006) 1141-1199
    • (2006) Internat. J. Modern Phys. B , vol.20 , Issue.10 , pp. 1141-1199
    • He, J.H.1
  • 16
    • 34250618605 scopus 로고    scopus 로고
    • J.H. He, Non-perturbative methods for strongly nonlinear problems, Berlin: dissertation.de-Verlag im Internet GmbH, 2006.
  • 17
    • 10244263652 scopus 로고    scopus 로고
    • An iteration formulation for normalized diode characteristics
    • He J.H., Wan Y.Q., and Guo Q. An iteration formulation for normalized diode characteristics. Internat. J. Circuit Theory Appl. 32 (2004) 629-632
    • (2004) Internat. J. Circuit Theory Appl. , vol.32 , pp. 629-632
    • He, J.H.1    Wan, Y.Q.2    Guo, Q.3
  • 18
    • 30344475545 scopus 로고    scopus 로고
    • Construction of solitary solution and compaction-like solution by variational iteration method
    • He J.H., and Wu X.H. Construction of solitary solution and compaction-like solution by variational iteration method. Chaos Solitons Fractals 29 1 (2006) 108-113
    • (2006) Chaos Solitons Fractals , vol.29 , Issue.1 , pp. 108-113
    • He, J.H.1    Wu, X.H.2
  • 19
    • 0038005388 scopus 로고    scopus 로고
    • On the solution of the couples Schrödinger-KdV equation by the decomposition method
    • Kaya D., and El-Sayed S.M. On the solution of the couples Schrödinger-KdV equation by the decomposition method. Phys. Lett. A 313 (2003) 82-88
    • (2003) Phys. Lett. A , vol.313 , pp. 82-88
    • Kaya, D.1    El-Sayed, S.M.2
  • 20
    • 24944474278 scopus 로고    scopus 로고
    • Application of He's variational iteration method to Helmholtz equation
    • Momani S., and Abuasad S. Application of He's variational iteration method to Helmholtz equation. Chaos Solitons Fractals 27 (2005) 1119-1123
    • (2005) Chaos Solitons Fractals , vol.27 , pp. 1119-1123
    • Momani, S.1    Abuasad, S.2
  • 21
    • 77957214313 scopus 로고
    • Conservative and nonconservative schemes for the solution of non-linear Schrödinger equation
    • Sanz-Serna J.M. Conservative and nonconservative schemes for the solution of non-linear Schrödinger equation. IMA J. Numer. Anal. 6 (1986) 25-42
    • (1986) IMA J. Numer. Anal. , vol.6 , pp. 25-42
    • Sanz-Serna, J.M.1
  • 22
    • 34250640169 scopus 로고    scopus 로고
    • N.H. Sweilam, M.M. Khader, Variational iteration method for one dimensional nonlinear thermoelasticity, Chaos Solitons Fractals (2005).
  • 23
    • 23644437348 scopus 로고    scopus 로고
    • Necessary conditions for the appearance of noise terms in decomposition solution series
    • Wazwaz A.M. Necessary conditions for the appearance of noise terms in decomposition solution series. Appl. Math. Comput. 81 (1997) 265-274
    • (1997) Appl. Math. Comput. , vol.81 , pp. 265-274
    • Wazwaz, A.M.1
  • 24
    • 0035341580 scopus 로고    scopus 로고
    • A reliable algorithm for obtaining positive solutions for nonlinear boundary value problems
    • Wazwaz A.M. A reliable algorithm for obtaining positive solutions for nonlinear boundary value problems. Comput. Math. Appl. 41 (2001) 1237-1244
    • (2001) Comput. Math. Appl. , vol.41 , pp. 1237-1244
    • Wazwaz, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.