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Volumn 217, Issue 23, 2011, Pages 9849-9853

On elliptic solutions of nonlinear ordinary differential equations

Author keywords

Elliptic solutions; Meromorphic solutions; Nonlinear ordinary differential equations; Periodic solutions

Indexed keywords

ELLIPTIC SOLUTIONS; EXPLICIT FORM; MEROMORPHIC SOLUTIONS; NONLINEAR ORDINARY DIFFERENTIAL EQUATION; NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS; PERIODIC SOLUTION;

EID: 79958106515     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2011.04.043     Document Type: Article
Times cited : (18)

References (16)
  • 1
    • 0000607676 scopus 로고
    • Exact solutions of the generalized Kuramoto-Sivashinsky equation
    • N.A. Kudryashov Exact solutions of the generalized Kuramoto-Sivashinsky equation Phys. Lett. A 147 1990 287 291
    • (1990) Phys. Lett. A , vol.147 , pp. 287-291
    • Kudryashov, N.A.1
  • 2
    • 0001635608 scopus 로고
    • On types of nonlinear nonintegrable differential equations with exact solutions
    • N.A. Kudryashov On types of nonlinear nonintegrable differential equations with exact solutions Phys. Lett. A 155 1991 269 275
    • (1991) Phys. Lett. A , vol.155 , pp. 269-275
    • Kudryashov, N.A.1
  • 3
    • 0036539957 scopus 로고    scopus 로고
    • The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations
    • E.J. Parkes, B.R. Duffy, and P.C. Abbott The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations Phys. Lett. A 295 2002 280 286
    • (2002) Phys. Lett. A , vol.295 , pp. 280-286
    • Parkes, E.J.1    Duffy, B.R.2    Abbott, P.C.3
  • 4
    • 0037100573 scopus 로고    scopus 로고
    • New transformations and new approach to find exact solutions to nonlinear equations
    • Z. Fu, S. Liu, and S. Liu New transformations and new approach to find exact solutions to nonlinear equations Phys. Lett. A 229 2002 507 512
    • (2002) Phys. Lett. A , vol.229 , pp. 507-512
    • Fu, Z.1    Liu, S.2    Liu, S.3
  • 5
    • 13444309466 scopus 로고    scopus 로고
    • Simplest equation method to look for exact solutions of nonlinear differential equations
    • DOI 10.1016/j.chaos.2004.09.109, PII S0960077904005715
    • N.A. Kudryashov Simplest equation method to look for exact solutions of nonlinear differential equations Chaos Solitons Fract. 24 2005 1217 1231 (Pubitemid 40206049)
    • (2005) Chaos, Solitons and Fractals , vol.24 , Issue.5 , pp. 1217-1231
    • Kudryashov, N.A.1
  • 6
    • 0034606149 scopus 로고    scopus 로고
    • Extended tanh-function method and its applications to nonlinear equations
    • DOI 10.1016/S0375-9601(00)00725-8, PII S0375960100007258
    • E. Fan Extended tanh-function method and its applications to nonlinear equations Phys. Lett. A 277 2000 212 218 (Pubitemid 32001663)
    • (2000) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.277 , Issue.4-5 , pp. 212-218
    • Fan, E.1
  • 7
    • 38249009217 scopus 로고
    • Partial differential equations with solutions having movable first-order singularities
    • N.A. Kudryashov Partial differential equations with solutions having movable first-order singularities Phys. Lett. A 169 1992 237 242
    • (1992) Phys. Lett. A , vol.169 , pp. 237-242
    • Kudryashov, N.A.1
  • 8
    • 0030284901 scopus 로고    scopus 로고
    • An automated tanh-function method for finding solitary wave solutions to non-linear evolution equations
    • DOI 10.1016/0010-4655(96)00104-X
    • E.J. Parkes, and B.R. Duffy An automated tanh-function method for finding solitary wave solutions to non-linear evolution equations Comput. Phys. Commun. 98 1996 288 300 (Pubitemid 126365667)
    • (1996) Computer Physics Communications , vol.98 , Issue.3 , pp. 288-300
    • Parkes, E.J.1    Duffy, B.R.2
  • 9
    • 56949101097 scopus 로고    scopus 로고
    • Solitary wave solution for the generalized Kawahara equation
    • A. Biswas Solitary wave solution for the generalized Kawahara equation Appl. Math. Lett. 22 2009 208 210
    • (2009) Appl. Math. Lett. , vol.22 , pp. 208-210
    • Biswas, A.1
  • 10
    • 49049110664 scopus 로고    scopus 로고
    • Rational solutions of fifth-order evolutionary equations for describing waves on water
    • Yu.Yu. Bagderina Rational solutions of fifth-order evolutionary equations for describing waves on water J. Appl. Math. Mech. 72 2008 180 191
    • (2008) J. Appl. Math. Mech. , vol.72 , pp. 180-191
    • Bagderina, Y.Yu.1
  • 11
    • 33947182950 scopus 로고    scopus 로고
    • Polygons of differential equations for finding exact solutions
    • DOI 10.1016/j.chaos.2006.02.012, PII S0960077906001913
    • N.A. Kudryashov, and M.V. Demina Polygons of differential equations for finding exact solutions Chaos Solitons Fract. 33 2007 1480 1496 (Pubitemid 46413031)
    • (2007) Chaos, Solitons and Fractals , vol.33 , Issue.5 , pp. 1480-1496
    • Kudryashov, N.A.1    Demina, M.V.2
  • 12
    • 54049115011 scopus 로고    scopus 로고
    • Extended simplest equation method for nonlinear differential equations
    • N.A. Kudryashov, and N.B. Loguinova Extended simplest equation method for nonlinear differential equations Appl. Math. Comput. 205 2008 396 402
    • (2008) Appl. Math. Comput. , vol.205 , pp. 396-402
    • Kudryashov, N.A.1    Loguinova, N.B.2
  • 13
    • 31044436151 scopus 로고    scopus 로고
    • Proof of the absence of elliptic solutions of the cubic complex Ginzburg-Landau equation
    • DOI 10.1007/s11232-006-0013-9
    • S.Yu. Vernov Proof of the absence of elliptic solutions of the cubic complex Ginzburg-Landau equation Theor. Math. Phys. 146 1 2006 131 139 (Pubitemid 43119577)
    • (2006) Theoretical and Mathematical Physics , vol.146 , Issue.1 , pp. 131-139
    • Vernov, S.Yu.1
  • 14
    • 77957339500 scopus 로고    scopus 로고
    • Explicit expressions for meromorphic solutions of autonomous nonlinear ordinary differential equations
    • M.V. Demina, and N.A. Kudryashov Explicit expressions for meromorphic solutions of autonomous nonlinear ordinary differential equations Commun. Nonlinear Sci. Numer. Simul. 16 2011 1127 1134
    • (2011) Commun. Nonlinear Sci. Numer. Simul. , vol.16 , pp. 1127-1134
    • Demina, M.V.1    Kudryashov, N.A.2
  • 15
    • 77956062179 scopus 로고    scopus 로고
    • From Laurent series to exact meromorphic solutions: The Kawahara equation
    • M.V. Demina, and N.A. Kudryashov From Laurent series to exact meromorphic solutions: the Kawahara equation Phys. Lett. A 374 2010 4023 4029
    • (2010) Phys. Lett. A , vol.374 , pp. 4023-4029
    • Demina, M.V.1    Kudryashov, N.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.