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Volumn 14, Issue 1, 2013, Pages 28-34

Cnoidal waves, solitary waves and painleve analysis of the 5th order KDV equation with dual-power law nonlinearity

Author keywords

5th order KdV equation; Cnoidal wave solution; Painleve analysis

Indexed keywords


EID: 84878391011     PISSN: 14549069     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (20)

References (20)
  • 1
    • 84878381474 scopus 로고    scopus 로고
    • Analytical sudy on nonlinear fifth order Korteweg-de Vries equation
    • E. ALIBEIGI, A. NEYRAME, Analytical sudy on nonlinear fifth order Korteweg-de Vries equation, World Applied Sciences Journal, 10, 4, pp. 440-442, 2010.
    • (2010) World Applied Sciences Journal , vol.10 , Issue.4 , pp. 440-442
    • Alibeigi, E.1    Neyrame, A.2
  • 3
    • 37349059367 scopus 로고    scopus 로고
    • Two-pulse solutions in the fifth order KdV equation: Rigorous theory and numerical approximations
    • M. CHUGUNOVA, D. PELINOVSY, Two-pulse solutions in the fifth order KdV equation: Rigorous theory and numerical approximations, Discrete and Continuous Dynamical System, 8, 4, pp. 773-800, 2007.
    • (2007) Discrete and Continuous Dynamical System , vol.8 , Issue.4 , pp. 773-800
    • Chugunova, M.1    Pelinovsy, D.2
  • 4
    • 0035420846 scopus 로고    scopus 로고
    • Compacton solutions in a class of fifth-order Korteweg-de Vries equation
    • F. COOPER, J M. MCHYMAN, A. KHARE, Compacton solutions in a class of fifth-order Korteweg-de Vries equation, Physical Review E, 64, 2, pp. 026608, 2001.
    • (2001) Physical Review e , vol.64 , Issue.2 , pp. 026608
    • Cooper, F.1    McHyman, J.M.2    Khare, A.3
  • 5
    • 77950223169 scopus 로고    scopus 로고
    • Traveling wave solutions for the fifth-order KdV equation and the BBM equation by G'/G-expansion method
    • Q. FENG, B. ZHENG, Traveling wave solutions for the fifth-order KdV equation and the BBM equation by G'/G-expansion method, WSEAS Transactions on Mathematics, 9, 3, pp. 171-180, 2010.
    • (2010) WSEAS Transactions on Mathematics , vol.9 , Issue.3 , pp. 171-180
    • Feng, Q.1    Zheng, B.2
  • 6
    • 84555197297 scopus 로고    scopus 로고
    • Nonlinear self-adjointness of a generalized fifth-order KdV equation
    • I. L. FREIRE, J. C. S. SAMPAIO, Nonlinear self-adjointness of a generalized fifth-order KdV equation, Journal of Physics A, 45, 3, pp. 032110, 2012.
    • (2012) Journal of Physics A , vol.45 , Issue.3 , pp. 032110
    • Freire, I.L.1    Sampaio, J.C.S.2
  • 7
    • 77953138578 scopus 로고    scopus 로고
    • Soliton perturbation theory for nonlinear wave equations
    • L. GIRGIS, A. BISWAS, Soliton perturbation theory for nonlinear wave equations, Applied Mathematics and Computation, 216, 7, pp. 2226-2231, 2010.
    • (2010) Applied Mathematics and Computation , vol.216 , Issue.7 , pp. 2226-2231
    • Girgis, L.1    Biswas, A.2
  • 8
    • 0037424857 scopus 로고    scopus 로고
    • On a generalized fifth order KdV equation
    • D. KAYA, S. M. EL-SAYED, On a generalized fifth order KdV equation, Physics Letters A, 310, 1, pp. 44-51, 2003.
    • (2003) Physics Letters A , vol.310 , Issue.1 , pp. 44-51
    • Kaya, D.1    El-Sayed, S.M.2
  • 10
    • 45349111974 scopus 로고
    • The Painleve property and singularity analysis of intertable and nonintegrable systems
    • A. RAMANI, B GRAMMATICOS, T BOUNTIS, The Painleve property and singularity analysis of intertable and nonintegrable systems, Physics Reports, 180, 3, pp. 159-245, 1989.
    • (1989) Physics Reports , vol.180 , Issue.3 , pp. 159-245
    • Ramani, A.1    Grammaticos, B.2    Bountis, T.3
  • 12
    • 79959371702 scopus 로고    scopus 로고
    • Local analyticity in the time and space variables and the smoothing effect for the fifth-order KdV-type equation
    • K. TOMOEDA, Local analyticity in the time and space variables and the smoothing effect for the fifth-order KdV-type equation, Advances in Mathematical Physics, 2011, pp. 238138, 2011.
    • (2011) Advances in Mathematical Physics , vol.2011 , pp. 238138
    • Tomoeda, K.1
  • 13
    • 79551605767 scopus 로고    scopus 로고
    • Soliton solutions for a generalized fifth-order KdV equation with t-dependent coefficients
    • H. TRIKI, A. BISWAS, Soliton solutions for a generalized fifth-order KdV equation with t-dependent coefficients, Waves in Random and Complex Media, 21, 1, pp. 151-160, 2011.
    • (2011) Waves in Random and Complex Media , vol.21 , Issue.1 , pp. 151-160
    • Triki, H.1    Biswas, A.2
  • 14
    • 33846641360 scopus 로고    scopus 로고
    • The extended tanh method for new soliton solutions for many forms of the fifth order KdV equation
    • A. M. WAZWAZ, The extended tanh method for new soliton solutions for many forms of the fifth order KdV equation, Applied Mathematics and Computation, 184, 2, pp. 1002-1014, 2007.
    • (2007) Applied Mathematics and Computation , vol.184 , Issue.2 , pp. 1002-1014
    • Wazwaz, A.M.1
  • 15
    • 34047095248 scopus 로고    scopus 로고
    • Analytic study on the generalized fifth order KdV equation: New solitons and periodic solutions
    • A. M. WAZWAZ, Analytic study on the generalized fifth order KdV equation: New solitons and periodic solutions, Communications in Nonlinear Science and Numerical Simulation, 12, 7, pp. 1172-1180, 2007.
    • (2007) Communications in Nonlinear Science and Numerical Simulation , vol.12 , Issue.7 , pp. 1172-1180
    • Wazwaz, A.M.1
  • 16
    • 78149398992 scopus 로고    scopus 로고
    • Soliton solutions for the fifth-order KdV equation and the Kawahara equation with time-dependent coefficients
    • A. M. WAZWAZ, Soliton solutions for the fifth-order KdV equation and the Kawahara equation with time-dependent coefficients, Physica Scripta, 82, 3, pp. 035009, 2010.
    • (2010) Physica Scripta , vol.82 , Issue.3 , pp. 035009
    • Wazwaz, A.M.1
  • 17
    • 36749112076 scopus 로고
    • The Painleve property for partial differential equations
    • J. WEISS, M. TABOR, G. CARNEVALE, The Painleve property for partial differential equations, Journal of Mathematical Physics, 24, 3, pp. 522-526, 1983.
    • (1983) Journal of Mathematical Physics , vol.24 , Issue.3 , pp. 522-526
    • Weiss, J.1    Tabor, M.2    Carnevale, G.3
  • 18
    • 0035646335 scopus 로고    scopus 로고
    • Approximate stationary solitons of the fifth order singularly perturbed KdV-type equations
    • W. XUE, Z. M. ZHU, Z.N. ZHU, Approximate stationary solitons of the fifth order singularly perturbed KdV-type equations, Journal of the Physical Society of Japan, 70, 9, pp. 2525-2530, 2001.
    • (2001) Journal of the Physical Society of Japan , vol.70 , Issue.9 , pp. 2525-2530
    • Xue, W.1    Zhu, Z.M.2    Zhu, Z.N.3
  • 19
    • 77950240964 scopus 로고    scopus 로고
    • A dual-Petrov-Galerkin method for two integrable fifth-order KdV type equations
    • J. M. YUAN, J. WU, A dual-Petrov-Galerkin method for two integrable fifth-order KdV type equations, Discrete and Continuous Dynamical Systems, 26, 4, pp. 1525-1536, 2010.
    • (2010) Discrete and Continuous Dynamical Systems , vol.26 , Issue.4 , pp. 1525-1536
    • Yuan, J.M.1    Wu, J.2
  • 20
    • 0000168251 scopus 로고    scopus 로고
    • Exact solitary wave and soliton solutions of the fifth order model equation
    • L. ZIBIN, L. YINPING, Exact solitary wave and soliton solutions of the fifth order model equation, Acta Mathematica Scientia, 22B, 1, pp. 138-144, 2002.
    • (2002) Acta Mathematica Scientia , vol.22 B , Issue.1 , pp. 138-144
    • Zibin, L.1    Yinping, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.