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Volumn 223, Issue 1, 2009, Pages 75-85

The application of the auxiliary equation technique to a generalized mKdV equation with variable coefficients

Author keywords

Auxiliary equation; Generalized mKdV equation; Jacobi elliptic wave like function; Soliton like solutions

Indexed keywords

FUNCTION EVALUATION; SOLITONS;

EID: 54449093028     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2007.12.021     Document Type: Article
Times cited : (11)

References (12)
  • 1
    • 0016973738 scopus 로고
    • The Korteweg-de Vries equation: A survey of results
    • Miura R.M. The Korteweg-de Vries equation: A survey of results. SIAM Rev. 6 (1976) 412-459
    • (1976) SIAM Rev. , vol.6 , pp. 412-459
    • Miura, R.M.1
  • 3
    • 0017901962 scopus 로고
    • A numerical and theoretical study of certain nonlinear wave phenomena
    • Fomberg B., and Whitham G.B. A numerical and theoretical study of certain nonlinear wave phenomena. Philos. Trans. Roy. Soc. London Ser. A 289 (1978) 373-404
    • (1978) Philos. Trans. Roy. Soc. London Ser. A , vol.289 , pp. 373-404
    • Fomberg, B.1    Whitham, G.B.2
  • 4
    • 0036869559 scopus 로고    scopus 로고
    • The application of bifurcation method to a higher-order KdV equation
    • Liu Z.R., and Yang C.X. The application of bifurcation method to a higher-order KdV equation. J. Math. Anal. Appl. 275 (2002) 1-12
    • (2002) J. Math. Anal. Appl. , vol.275 , pp. 1-12
    • Liu, Z.R.1    Yang, C.X.2
  • 5
    • 0036502983 scopus 로고    scopus 로고
    • Travelling wave solutions of some classes of nonlinear evolution equations in (1+1) and (2+1) dimensions
    • Khater A.H., Malfliet W., Callebaut D.K., and Kamel E.S. Travelling wave solutions of some classes of nonlinear evolution equations in (1+1) and (2+1) dimensions. J. Comput. Appl. Math. 140 (2002) 469-477
    • (2002) J. Comput. Appl. Math. , vol.140 , pp. 469-477
    • Khater, A.H.1    Malfliet, W.2    Callebaut, D.K.3    Kamel, E.S.4
  • 6
    • 0000888627 scopus 로고    scopus 로고
    • On a class of nonlinear dispersive-dissipative interactions
    • Rosenau P. On a class of nonlinear dispersive-dissipative interactions. Physica D 230 5-6 (1998) 535-546
    • (1998) Physica D , vol.230 , Issue.5-6 , pp. 535-546
    • Rosenau, P.1
  • 7
    • 27144474748 scopus 로고    scopus 로고
    • Two reliable methods for solving variants of the KdV equations with compact and noncompact structures
    • Wazwaz A.M. Two reliable methods for solving variants of the KdV equations with compact and noncompact structures. Chaos Solitons Fractals 28 (2006) 454-462
    • (2006) Chaos Solitons Fractals , vol.28 , pp. 454-462
    • Wazwaz, A.M.1
  • 8
    • 33847069102 scopus 로고    scopus 로고
    • A variable separated ODE method for solving the triple sine-Gordon and the triple Sinh-Gordon equations
    • Wazwaz A.M. A variable separated ODE method for solving the triple sine-Gordon and the triple Sinh-Gordon equations. Chaos Solitons Fractals 33 (2007) 703-710
    • (2007) Chaos Solitons Fractals , vol.33 , pp. 703-710
    • Wazwaz, A.M.1
  • 9
    • 33646086000 scopus 로고    scopus 로고
    • An approximational of the analytic solution of the shock wave equation
    • Allan F.M., and Al-Khaled K. An approximational of the analytic solution of the shock wave equation. J. Comput. Appl. Math. 192 (2006) 301-309
    • (2006) J. Comput. Appl. Math. , vol.192 , pp. 301-309
    • Allan, F.M.1    Al-Khaled, K.2
  • 10
    • 33646238026 scopus 로고    scopus 로고
    • A moving collocation method for the solution of the transient convection-diffusion-reaction problems
    • Alhumaizi K. A moving collocation method for the solution of the transient convection-diffusion-reaction problems. J. Comput. Appl. Math. 193 (2006) 484-496
    • (2006) J. Comput. Appl. Math. , vol.193 , pp. 484-496
    • Alhumaizi, K.1
  • 11
    • 33646247611 scopus 로고    scopus 로고
    • Adomian decomposition method for solving BVPs for fourth-order-integro-differential equations
    • Hashim I. Adomian decomposition method for solving BVPs for fourth-order-integro-differential equations. J. Comput. Appl. Math. 193 (2006) 658-664
    • (2006) J. Comput. Appl. Math. , vol.193 , pp. 658-664
    • Hashim, I.1
  • 12
    • 19544393622 scopus 로고    scopus 로고
    • New exact solutions of nonlinear Gross-Pitaevskii equation with weak bias magnetic and time-dependent laser fields
    • Li H.M. New exact solutions of nonlinear Gross-Pitaevskii equation with weak bias magnetic and time-dependent laser fields. Chin. Phys. 14 (2005) 251-256
    • (2005) Chin. Phys. , vol.14 , pp. 251-256
    • Li, H.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.