메뉴 건너뛰기




Volumn 218, Issue 7, 2011, Pages 3965-3972

Application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations

Author keywords

Exact solutions; Kudryashov method; Nonlinear differential equations; Nonlinear evolution equations; Ordinary differential equations

Indexed keywords

EXACT SOLUTION; HIGH ORDER; KUDRYASHOV METHOD; NONLINEAR DIFFERENTIAL EQUATIONS; NONLINEAR EVOLUTION EQUATION; SOLITARY WAVE SOLUTION;

EID: 80054985830     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2011.09.027     Document Type: Article
Times cited : (179)

References (21)
  • 1
    • 0010251877 scopus 로고
    • Exact soliton solutions of the generalized evolution equation of wave dynamics
    • N.A. Kudryashov Exact soliton solutions of the generalized evolution equation of wave dynamics J. Appl. Math. Mech. 52 1988 361 365
    • (1988) J. Appl. Math. Mech. , vol.52 , pp. 361-365
    • Kudryashov, N.A.1
  • 2
    • 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
  • 3
    • 0001635608 scopus 로고
    • On types of nonlinear nonintegrable equations with exact solutions
    • N.A. Kudryashov On types of nonlinear nonintegrable equations with exact solutions Phys. Lett. A 155 1991 269 275
    • (1991) Phys. Lett. A , vol.155 , pp. 269-275
    • Kudryashov, N.A.1
  • 4
    • 0043176833 scopus 로고
    • Singular manifold equations and exact solutions for some nonlinear partial differential equations
    • N.A. Kudryashov Singular manifold equations and exact solutions for some nonlinear partial differential equations Phys. Lett. A 182 1993 356 362
    • (1993) Phys. Lett. A , vol.182 , pp. 356-362
    • Kudryashov, N.A.1
  • 7
    • 21344493193 scopus 로고
    • Exact solutions to the two-dimensional Korteweg-de Vries-Burgers equation
    • 27
    • E.J. Parkes Exact solutions to the two-dimensional Korteweg-de Vries-Burgers equation J. Phys. A: Math. Gen. 27 1994 L497 L501 27
    • (1994) J. Phys. A: Math. Gen. , vol.27
    • Parkes, E.J.1
  • 8
    • 0030284901 scopus 로고    scopus 로고
    • An automated tanh-function method for finding solitary wave solutions to non-linear evolution equations
    • 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
    • (1996) Comput. Phys. Commun. , vol.98 , pp. 288-300
    • Parkes, E.J.1    Duffy, B.R.2
  • 9
    • 0004483962 scopus 로고    scopus 로고
    • The tanh method: I. Exact solutions of nonlinear evolution and wave equations
    • W. Malfliet, and W. Hereman The tanh method: I. Exact solutions of nonlinear evolution and wave equations Phys. Scr. 54 1996 563 568
    • (1996) Phys. Scr. , vol.54 , pp. 563-568
    • Malfliet, W.1    Hereman, W.2
  • 10
    • 0034606149 scopus 로고    scopus 로고
    • Extended tanh-function method and its applications to nonlinear equations
    • E. Fan Extended tanh-function method and its applications to nonlinear equations Phys. Lett. A 277 2000 212 218
    • (2000) Phys. Lett. A , vol.277 , pp. 212-218
    • Fan, E.1
  • 11
    • 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
  • 12
    • 77953137868 scopus 로고    scopus 로고
    • Modified method of simplest equation and its application to nonlinear PDEs
    • N.K. Vitanov, Z.I. Dimitrova, and H. Kantz Modified method of simplest equation and its application to nonlinear PDEs Appl. Math. Comput. 216 2010 2587 2595
    • (2010) Appl. Math. Comput. , vol.216 , pp. 2587-2595
    • Vitanov, N.K.1    Dimitrova, Z.I.2    Kantz, H.3
  • 13
    • 54049115011 scopus 로고    scopus 로고
    • Extended simplest equation method for nonlinear differential equations
    • N.A. Kudryashov, and N.B. Louginova 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    Louginova, N.B.2
  • 14
    • 78049312282 scopus 로고    scopus 로고
    • Exact solutions of the Kudryashov-Sinelshchikov equation
    • P.N. Ryabov Exact solutions of the Kudryashov-Sinelshchikov equation Appl. Math. Comput. 217 2010 3585 3590
    • (2010) Appl. Math. Comput. , vol.217 , pp. 3585-3590
    • Ryabov, P.N.1
  • 15
    • 78650765032 scopus 로고    scopus 로고
    • Modified Kudryashov method for finding exact solitary wave solutions of higher-order nonlinear equations
    • doi:10.1002/mma.1349
    • M.M. Kabir, A. Khajeh, E. Abdi Aghdam, A. Yousefi Koma. Modified Kudryashov method for finding exact solitary wave solutions of higher-order nonlinear equations, Math. Meth. Appl. Sci. doi:10.1002/mma.1349.
    • Math. Meth. Appl. Sci.
    • Kabir, M.M.1    Khajeh, A.2    Abdi Aghdam, E.3    Yousefi Koma, A.4
  • 16
    • 80055022748 scopus 로고    scopus 로고
    • The traveling wave solutions for some nonlinear PDEs in mathematical physics
    • K.A. Gepreel, S. Omran, and S.K. Elagan The traveling wave solutions for some nonlinear PDEs in mathematical physics Appl. Math. 2 2011 343 347
    • (2011) Appl. Math. , vol.2 , pp. 343-347
    • Gepreel, K.A.1    Omran, S.2    Elagan, S.K.3
  • 17
    • 0000563872 scopus 로고
    • Dynamics of Viscoelastic Media with Internal Oscillators
    • S.L. Koh, C.G. Speciale, Springer Berlin
    • V.N. Nikolaevskii Dynamics of Viscoelastic Media with Internal Oscillators S.L. Koh, C.G. Speciale, Recent Adv. Eng. Sci. 1989 Springer Berlin 210 221
    • (1989) Recent Adv. Eng. Sci. , pp. 210-221
    • Nikolaevskii, V.N.1
  • 18
    • 0001103263 scopus 로고    scopus 로고
    • New scenario for transition to turbulence?
    • M.I. Tribelsky, and K. Tsuboi New scenario for transition to turbulence? Phys. Rev. Lett. 76 1996 1631 1634
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 1631-1634
    • Tribelsky, M.I.1    Tsuboi, K.2
  • 19
    • 37649028309 scopus 로고    scopus 로고
    • Chemical turbulence equivalent to Nikolaevskii turbulence
    • (015202-1-015202-4)
    • D. Tanaka Chemical turbulence equivalent to Nikolaevskii turbulence Phys. Rev. E 2004 (015202-1-015202-4)
    • (2004) Phys. Rev. e
    • Tanaka, D.1
  • 20
    • 34648837624 scopus 로고    scopus 로고
    • Periodic structures developing with account for dispersion in a turbulence model
    • N.A. Kudryashov, and A.V. Migita Periodic structures developing with account for dispersion in a turbulence model Fluid Dyn. 42 2007 463 471
    • (2007) Fluid Dyn. , vol.42 , pp. 463-471
    • Kudryashov, N.A.1    Migita, A.V.2
  • 21
    • 4344573982 scopus 로고    scopus 로고
    • Nonlinear differential equations with exact solutions expressed via the Weierstrass function
    • N.A. Kudryashov Nonlinear differential equations with exact solutions expressed via the Weierstrass function Zeitschrift fur Naturforschung 59 2004 443 454
    • (2004) Zeitschrift fur Naturforschung , vol.59 , pp. 443-454
    • Kudryashov, N.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.