메뉴 건너뛰기




Volumn 196, Issue 1, 2008, Pages 273-284

A fourth-order explicit schemes for the coupled nonlinear Schrödinger equation

Author keywords

Coupled nonlinear Schr dinger equation; Interaction of two solitons; Runge Kutta method

Indexed keywords

NUMERICAL METHODS; PROBLEM SOLVING; SOLITONS;

EID: 38049089855     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.05.059     Document Type: Article
Times cited : (41)

References (12)
  • 2
    • 28244501835 scopus 로고    scopus 로고
    • Highly accurate finite difference method for coupled nonlinear Schrödinger equation
    • Ismail M.S., and Alamri S.Z. Highly accurate finite difference method for coupled nonlinear Schrödinger equation. Int. J. Comp. Math. 81 3 (2004) 333-351
    • (2004) Int. J. Comp. Math. , vol.81 , Issue.3 , pp. 333-351
    • Ismail, M.S.1    Alamri, S.Z.2
  • 3
    • 0034920816 scopus 로고    scopus 로고
    • Numerical simulation of coupled nonlinear Schrödinger equation
    • Ismail M.S., and Taha T.R. Numerical simulation of coupled nonlinear Schrödinger equation. Math. Comp. Simul. 56 (2001) 547-562
    • (2001) Math. Comp. Simul. , vol.56 , pp. 547-562
    • Ismail, M.S.1    Taha, T.R.2
  • 4
    • 38049050084 scopus 로고    scopus 로고
    • M.S. Ismail, Thiab R Taha, A linearly implicit conservative scheme for the coupled nonlinear Schrödinger equation, Math. Comp. Simul., in press.
  • 5
    • 77957214313 scopus 로고
    • Conservative and nonconservative Schrödinger equation
    • Sanz-Serna J.M., and Verwer J.G. Conservative and nonconservative 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    Verwer, J.G.2
  • 6
    • 0010288197 scopus 로고
    • The numerical treatment of the nonlinear Schr ödinger equation
    • Shamerdan A.B. The numerical treatment of the nonlinear Schr ödinger equation. Comput. Math. Appl. 19 (1990) 67-73
    • (1990) Comput. Math. Appl. , vol.19 , pp. 67-73
    • Shamerdan, A.B.1
  • 7
    • 0347708733 scopus 로고    scopus 로고
    • Solving the generalized nonlinear Schrödinger equation via quartic spline approximation
    • Sheng Q., Khaliq A.Q.M., and al- Said E.A. Solving the generalized nonlinear Schrödinger equation via quartic spline approximation. J. Comput. Phys. 166 (2001) 400-417
    • (2001) J. Comput. Phys. , vol.166 , pp. 400-417
    • Sheng, Q.1    Khaliq, A.Q.M.2    al- Said, E.A.3
  • 8
    • 0142216144 scopus 로고    scopus 로고
    • Multisymplectic methods for the coupled 1D nonlinear Schrödinger system
    • Sun J.Q., and Quin M.Z. Multisymplectic methods for the coupled 1D nonlinear Schrödinger system. Comp. Phys. Commun. 155 (2003) 221-235
    • (2003) Comp. Phys. Commun. , vol.155 , pp. 221-235
    • Sun, J.Q.1    Quin, M.Z.2
  • 9
    • 4344660059 scopus 로고    scopus 로고
    • Numerical study of the soliton waves of the coupled nonlinear Schrödinger system
    • Sun J.Q., Gu X.Y., and Q Ma Z. Numerical study of the soliton waves of the coupled nonlinear Schrödinger system. Physica D 196 (2004) 311-328
    • (2004) Physica D , vol.196 , pp. 311-328
    • Sun, J.Q.1    Gu, X.Y.2    Q Ma, Z.3
  • 10
    • 77953060088 scopus 로고
    • A coupled nonlinear Schrödinger equation and optical solitons
    • Wadati M., Izuka T., and Hisakado M. A coupled nonlinear Schrödinger equation and optical solitons. J. Phys. Soc. Jpn. 61 7 (1992) 2241-2245
    • (1992) J. Phys. Soc. Jpn. , vol.61 , Issue.7 , pp. 2241-2245
    • Wadati, M.1    Izuka, T.2    Hisakado, M.3
  • 11
    • 33748077411 scopus 로고    scopus 로고
    • Semi implicit operator splitting Pade' method for higher-order nonlinear Schrödinger equations
    • Xu Z., He J., and Han H. Semi implicit operator splitting Pade' method for higher-order nonlinear Schrödinger equations. Appl. Math. Comput. 179 (2006) 596-605
    • (2006) Appl. Math. Comput. , vol.179 , pp. 596-605
    • Xu, Z.1    He, J.2    Han, H.3
  • 12
    • 0010295721 scopus 로고
    • Numerical simulation of nonlinear Schrödinger systems: a new conservative scheme
    • Zhang F., Perez_Garacia V.M., and Vazquez L. Numerical simulation of nonlinear Schrödinger systems: a new conservative scheme. Appl. Math. Comput. 71 (1995) 164-177
    • (1995) Appl. Math. Comput. , vol.71 , pp. 164-177
    • Zhang, F.1    Perez Garacia, V.M.2    Vazquez, L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.