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Volumn 14, Issue 1, 2009, Pages 12-18

Adomian decomposition method for nonlinear differential-difference equations

Author keywords

Adomian decomposition method; Discretized nonlinear equation

Indexed keywords

CRYSTAL LATTICES; DIFFERENCE EQUATIONS;

EID: 45249084301     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2007.01.007     Document Type: Article
Times cited : (36)

References (23)
  • 2
    • 0002613303 scopus 로고
    • Binding energy versus nonlinearity for a small stationary soliton
    • Scott A.C., and Macheil L. Binding energy versus nonlinearity for a small stationary soliton. Phys Lett A 98 (1983) 87-88
    • (1983) Phys Lett A , vol.98 , pp. 87-88
    • Scott, A.C.1    Macheil, L.2
  • 3
    • 24544433777 scopus 로고
    • Intrinsic localized modes in anharmonic crystals
    • Sievers A.J., and Takeno S. Intrinsic localized modes in anharmonic crystals. Phys Rev Lett 61 (1988) 970-973
    • (1988) Phys Rev Lett , vol.61 , pp. 970-973
    • Sievers, A.J.1    Takeno, S.2
  • 5
    • 0015589089 scopus 로고
    • The theory of contraction of proteins under their excitation
    • Davydov A.S. The theory of contraction of proteins under their excitation. J Theor Biol 38 (1973) 559-569
    • (1973) J Theor Biol , vol.38 , pp. 559-569
    • Davydov, A.S.1
  • 6
    • 35949006351 scopus 로고
    • Observation of nonlinear localized modes in an electrical lattice
    • Marquii P., Bilbault J.M., and Rernoissnet M. Observation of nonlinear localized modes in an electrical lattice. Phys Rev E 51 (1995) 6127-6133
    • (1995) Phys Rev E , vol.51 , pp. 6127-6133
    • Marquii, P.1    Bilbault, J.M.2    Rernoissnet, M.3
  • 9
    • 0031557264 scopus 로고    scopus 로고
    • New integrable systems related to the relativistic Toda lattice
    • Suris Yu.B. New integrable systems related to the relativistic Toda lattice. J Phys A: Math Gen 30 (1997) 1745-1761
    • (1997) J Phys A: Math Gen , vol.30 , pp. 1745-1761
    • Suris, Yu.B.1
  • 10
    • 0039646362 scopus 로고    scopus 로고
    • On some integrable systems related to the Toda lattice
    • Suris Yu.B. On some integrable systems related to the Toda lattice. J Phys A: Math Gen 30 (1997) 2235-2249
    • (1997) J Phys A: Math Gen , vol.30 , pp. 2235-2249
    • Suris, Yu.B.1
  • 11
    • 0009430264 scopus 로고    scopus 로고
    • A discrete-time relativistic Toda lattice
    • Suris Yu.B. A discrete-time relativistic Toda lattice. J Phys A: Math Gen 29 (1996) 451-465
    • (1996) J Phys A: Math Gen , vol.29 , pp. 451-465
    • Suris, Yu.B.1
  • 12
    • 85196142290 scopus 로고    scopus 로고
    • Suris YuB. Miura transformations for Toda-type integrable systems, with applications to the problem of integrable discretizations, Sfb288 Preprint 367. Department of Mathematics, Technical University Berlin, Berlin, Germany, 2001.
    • Suris YuB. Miura transformations for Toda-type integrable systems, with applications to the problem of integrable discretizations, Sfb288 Preprint 367. Department of Mathematics, Technical University Berlin, Berlin, Germany, 2001.
  • 13
    • 85196158125 scopus 로고    scopus 로고
    • Suris YuB. The problem of integrable discretization: Hamiltonian approach. A skeleton of the book, Sfb288 Preprint 479. Department of Mathematics, Technical University Berlin, Berlin, Germany, 2002.
    • Suris YuB. The problem of integrable discretization: Hamiltonian approach. A skeleton of the book, Sfb288 Preprint 479. Department of Mathematics, Technical University Berlin, Berlin, Germany, 2002.
  • 16
    • 0038415173 scopus 로고    scopus 로고
    • Solution of the Thomas-Fermi equation
    • Adomian G. Solution of the Thomas-Fermi equation. Appl Math Lett 11 (1998) 131-133
    • (1998) Appl Math Lett , vol.11 , pp. 131-133
    • Adomian, G.1
  • 17
    • 0035949881 scopus 로고    scopus 로고
    • A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation
    • Wazwaz A.-M. A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation. Appl Math Comput 123 (2001) 205-217
    • (2001) Appl Math Comput , vol.123 , pp. 205-217
    • Wazwaz, A.-M.1
  • 18
    • 0000013352 scopus 로고    scopus 로고
    • The decomposition method applied to systems of partial differential equations and to the reaction-diffusion Brusselator model
    • Wazwaz A.-M. The decomposition method applied to systems of partial differential equations and to the reaction-diffusion Brusselator model. Appl Math Comput 110 (2000) 251-264
    • (2000) Appl Math Comput , vol.110 , pp. 251-264
    • Wazwaz, A.-M.1
  • 19
    • 0347596656 scopus 로고    scopus 로고
    • Numerical soliton-like solutions of the potential Kadomtsev-Petviashvili equation by the decomposition method
    • Kaya D., and El-Sayed S.M. Numerical soliton-like solutions of the potential Kadomtsev-Petviashvili equation by the decomposition method. Phys Lett A 320 (2003) 192-199
    • (2003) Phys Lett A , vol.320 , pp. 192-199
    • Kaya, D.1    El-Sayed, S.M.2
  • 20
    • 18844365155 scopus 로고    scopus 로고
    • The use of Adomian decomposition method for solving the regularized long-wave equation
    • El-Danaf T.S., Ramadan M.A., and Abd Alaal F.E.I. The use of Adomian decomposition method for solving the regularized long-wave equation. Chaos Soliton Fract 26 (2005) 747-757
    • (2005) Chaos Soliton Fract , vol.26 , pp. 747-757
    • El-Danaf, T.S.1    Ramadan, M.A.2    Abd Alaal, F.E.I.3
  • 22
    • 84903588163 scopus 로고
    • On the solution of a class of nonlinear partial difference equations
    • Ablowitz M.J., and Ladic J.F. On the solution of a class of nonlinear partial difference equations. Stud Appl Math 57 (1977) 1-12
    • (1977) Stud Appl Math , vol.57 , pp. 1-12
    • Ablowitz, M.J.1    Ladic, J.F.2
  • 23
    • 24344489016 scopus 로고    scopus 로고
    • Jacobian elliptic function method for nonlinear differential-difference equations
    • Dai C.Q., and Zhang J.F. Jacobian elliptic function method for nonlinear differential-difference equations. Chaos Soliton Fract 27 (2006) 1042-1047
    • (2006) Chaos Soliton Fract , vol.27 , pp. 1042-1047
    • Dai, C.Q.1    Zhang, J.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.