메뉴 건너뛰기




Volumn 144, Issue 2-3, 2003, Pages 353-363

An explicit and numerical solutions of some fifth-order KdV equation by decomposition method

Author keywords

Fifth order KdV equation; The Adomian decomposition method; The Kawahara equation; The self canceling noise terms

Indexed keywords

COMPUTATIONAL METHODS; LINEARIZATION; NUMERICAL METHODS; PERTURBATION TECHNIQUES; SPURIOUS SIGNAL NOISE;

EID: 0038112095     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00412-5     Document Type: Article
Times cited : (98)

References (16)
  • 3
    • 0041185368 scopus 로고
    • A review of the decomposition method in applied mathematics
    • Adomian G. A review of the decomposition method in applied mathematics. J. Math. Anal. Appl. 135:1988;501-544.
    • (1988) J. Math. Anal. Appl. , vol.135 , pp. 501-544
    • Adomian, G.1
  • 4
    • 84979018726 scopus 로고    scopus 로고
    • Exact solutions of some fifth-order nonlinear equations
    • Xiqiang L., Chenglin B. Exact solutions of some fifth-order nonlinear equations. Appl. Math. Scr. B (Engl. Ed.). 15:2000;28-32.
    • (2000) Appl. Math. Scr. B (Engl. Ed.) , vol.15 , pp. 28-32
    • Xiqiang, L.1    Chenglin, B.2
  • 5
    • 0030284901 scopus 로고    scopus 로고
    • An automated Tanh-function method for finding solitary wave solutions to non-linear evolution equations
    • Parkes E.J., Duffy B.R. An automated Tanh-function method for finding solitary wave solutions to non-linear evolution equations. Comput. Phys. Commun. 98:1996;288-300.
    • (1996) Comput. Phys. Commun. , vol.98 , pp. 288-300
    • Parkes, E.J.1    Duffy, B.R.2
  • 6
    • 21844524190 scopus 로고
    • On short-scale oscillatory tails of long-wave disturbances
    • Akylas T.R., Yang T.-S. On short-scale oscillatory tails of long-wave disturbances. Stud. Appl. Math. 94:1995;1-20.
    • (1995) Stud. Appl. Math. , vol.94 , pp. 1-20
    • Akylas, T.R.1    Yang, T.-S.2
  • 7
    • 0000219244 scopus 로고
    • Existence of perturbed solitary wave solutions to a model equation for water waves
    • Hunter J.K., Scheurle J. Existence of perturbed solitary wave solutions to a model equation for water waves. Physica D. 32:1988;253-268.
    • (1988) Physica D , vol.32 , pp. 253-268
    • Hunter, J.K.1    Scheurle, J.2
  • 8
    • 0001472555 scopus 로고
    • Weak non-local solitons for capillary-gravity waves: Fifth-order Korteweg-de Vries equation
    • Body J.P. Weak non-local solitons for capillary-gravity waves: fifth-order Korteweg-de Vries equation. Physica D. 48:1991;129-146.
    • (1991) Physica D , vol.48 , pp. 129-146
    • Body, J.P.1
  • 9
    • 84990623719 scopus 로고
    • Exact solitary waves with capillary ripples at infinity
    • Beale J.T. Exact solitary waves with capillary ripples at infinity. Commun. Pure Appl. Math. 44:1991;211-247.
    • (1991) Commun. Pure Appl. Math. , vol.44 , pp. 211-247
    • Beale, J.T.1
  • 10
    • 84970868898 scopus 로고
    • Convergence of Adomian's method
    • Cherruault Y. Convergence of Adomian's method. Kybernetics. 18:1989;31-38.
    • (1989) Kybernetics , vol.18 , pp. 31-38
    • Cherruault, Y.1
  • 11
    • 0002588102 scopus 로고
    • Nonlinear dynamical systems: On the accuracy of Adomian's decomposition method
    • Rèpaci A. Nonlinear dynamical systems: On the accuracy of Adomian's decomposition method. Appl. Math. Lett. 3:1990;35-39.
    • (1990) Appl. Math. Lett. , vol.3 , pp. 35-39
    • Rèpaci, A.1
  • 12
    • 0000395259 scopus 로고
    • Decomposition methods: A new proof of convergence
    • Cherruault Y., Adomian G. Decomposition methods: a new proof of convergence. Math. Comput. Model. 18:1993;103-106.
    • (1993) Math. Comput. Model. , vol.18 , pp. 103-106
    • Cherruault, Y.1    Adomian, G.2
  • 13
    • 0040313517 scopus 로고    scopus 로고
    • A reliable modification of Adomian decomposition method
    • Wazwaz A.M. A reliable modification of Adomian decomposition method. Appl. Math. Comput. 102:1999;77-86.
    • (1999) Appl. Math. Comput. , vol.102 , pp. 77-86
    • Wazwaz, A.M.1
  • 14
    • 0002095007 scopus 로고
    • Noise terms in decomposition solution series
    • Adomian G., Rach R. Noise terms in decomposition solution series. Comput. Math. Appl. 24(11):1992;61-64.
    • (1992) Comput. Math. Appl. , vol.24 , Issue.11 , pp. 61-64
    • Adomian, G.1    Rach, R.2
  • 15
    • 0000937070 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. J. Math. Anal. Appl. 5:1997;265-274.
    • (1997) J. Math. Anal. Appl. , vol.5 , pp. 265-274
    • Wazwaz, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.