메뉴 건너뛰기




Volumn 16, Issue 6, 2011, Pages 2390-2396

Nonlinear evolution equation for describing waves in a viscoelastic tube

Author keywords

Exact solutions; Nonlinear evolution equation; Simplest equation method; Viscoelastic tube

Indexed keywords

NONLINEAR EQUATIONS; TUBES (COMPONENTS); VISCOELASTICITY;

EID: 78651420038     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2010.09.020     Document Type: Article
Times cited : (9)

References (22)
  • 2
    • 33646394587 scopus 로고    scopus 로고
    • Nonlinear waves in fluid flow through a viscoelastic tube
    • Kudryashov N.A., Chernyavskii I.L. Nonlinear waves in fluid flow through a viscoelastic tube. Fluid Dynam 2006, 41(1):4962.
    • (2006) Fluid Dynam , vol.41 , Issue.1 , pp. 4962
    • Kudryashov, N.A.1    Chernyavskii, I.L.2
  • 4
    • 0000423443 scopus 로고
    • Comparison of linearized wave propagation models for arterial blood flow analysis
    • Cox R.H. Comparison of linearized wave propagation models for arterial blood flow analysis. J. Biomech 1969, 2:251-265.
    • (1969) J. Biomech , vol.2 , pp. 251-265
    • Cox, R.H.1
  • 5
    • 33646410169 scopus 로고
    • Non-linear theory of viscous flow in elastic tubes
    • Miekisz S. Non-linear theory of viscous flow in elastic tubes. Phys Med Biol 1961, 6:103-109.
    • (1961) Phys Med Biol , vol.6 , pp. 103-109
    • Miekisz, S.1
  • 6
    • 0042036250 scopus 로고
    • Solitary waves in large blood vessels
    • Yomosa S. Solitary waves in large blood vessels. J Phys Soc Japan 1987, 56:506-520.
    • (1987) J Phys Soc Japan , vol.56 , pp. 506-520
    • Yomosa, S.1
  • 7
    • 0942268686 scopus 로고    scopus 로고
    • One dimensional models for blood flow in arteries
    • Formaggia L., Lamponi D., Quarteroni A. One dimensional models for blood flow in arteries. J Eng Math 2003, (47):251-276.
    • (2003) J Eng Math , Issue.47 , pp. 251-276
    • Formaggia, L.1    Lamponi, D.2    Quarteroni, A.3
  • 8
    • 85196201833 scopus 로고    scopus 로고
    • Theory of Elasticity. 3rd ed. Butterworth-Heinemann
    • Landau LD, Lifshitz EW. Theory of Elasticity. 3rd ed. vol. 7. Butterworth-Heinemann. 195p.
    • , vol.7 , pp. 195
    • Landau, L.D.1    Lifshitz, E.W.2
  • 9
    • 36849102307 scopus 로고
    • Korteweg de Vries equation and generalizations: III. Derivation of the Korteweg de Vries equation and Burgers equation
    • Su C.H., Gardner C.S. Korteweg de Vries equation and generalizations: III. Derivation of the Korteweg de Vries equation and Burgers equation. J Math Phys 1969, 10:536-539.
    • (1969) J Math Phys , vol.10 , pp. 536-539
    • Su, C.H.1    Gardner, C.S.2
  • 10
    • 77952528320 scopus 로고
    • Reductive perturbation method in nonlinear wave propagation I
    • Taniuti T., Wei C.-C. Reductive perturbation method in nonlinear wave propagation I. J Phys Soc Japan 1968, 24:941-946.
    • (1968) J Phys Soc Japan , vol.24 , pp. 941-946
    • Taniuti, T.1    Wei, C.-C.2
  • 11
    • 62949176122 scopus 로고    scopus 로고
    • Traveling wave solutions of the generalized nonlinear evolution equations
    • Kudryashov N.A., Demina M.V. Traveling wave solutions of the generalized nonlinear evolution equations. Appl Math Comput 2009, 210:551-557.
    • (2009) Appl Math Comput , vol.210 , pp. 551-557
    • Kudryashov, N.A.1    Demina, M.V.2
  • 12
    • 77952762814 scopus 로고
    • Oscillatory solitary waves in dispersive media
    • Kawahara T. Oscillatory solitary waves in dispersive media. J Phys Soc Japan 1972, 33:260-264.
    • (1972) J Phys Soc Japan , vol.33 , pp. 260-264
    • Kawahara, T.1
  • 13
    • 77956062179 scopus 로고    scopus 로고
    • From Laurent series to exact meromorphic solutions: the Kawahara equation
    • Demina M.V., Kudryashov N.A. From Laurent series to exact meromorphic solutions: the Kawahara equation. Phys Lett A 2010, 374:4023-4029.
    • (2010) Phys Lett A , vol.374 , pp. 4023-4029
    • Demina, M.V.1    Kudryashov, N.A.2
  • 14
    • 0010251877 scopus 로고
    • Exact soliton solutions of the generalized evolution equation of wave dynamics
    • Kudryashov N.A. Exact soliton solutions of the generalized evolution equation of wave dynamics. J Appl Math Mech 1988, 52:361-365.
    • (1988) J Appl Math Mech , vol.52 , pp. 361-365
    • Kudryashov, N.A.1
  • 15
    • 0000999098 scopus 로고
    • Hirota's method and the singular manifold expansion
    • Nozaki K. Hirota's method and the singular manifold expansion. J Phys Soc Japan 1987, 56:3052-3054.
    • (1987) J Phys Soc Japan , vol.56 , pp. 3052-3054
    • Nozaki, K.1
  • 16
    • 56949101097 scopus 로고    scopus 로고
    • Solitary wave solution for the generalized Kawahara equation
    • Biswas A. Solitary wave solution for the generalized Kawahara equation. Appl Math Lett 2009, 22:208-210.
    • (2009) Appl Math Lett , vol.22 , pp. 208-210
    • Biswas, A.1
  • 17
    • 0001635608 scopus 로고
    • On types of nonlinear nonintegrable equations with exact solutions
    • Kudryashov N.A. On types of nonlinear nonintegrable equations with exact solutions. Phys Lett A 1991, 155:269-275.
    • (1991) Phys Lett A , vol.155 , pp. 269-275
    • Kudryashov, N.A.1
  • 18
    • 0036539957 scopus 로고    scopus 로고
    • The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations
    • Parkes E.J., Duffy B.R., Abbott P.C. The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations. Phys Lett A 2002, 295:280-286.
    • (2002) Phys Lett A , vol.295 , pp. 280-286
    • Parkes, E.J.1    Duffy, B.R.2    Abbott, P.C.3
  • 19
    • 77950863744 scopus 로고    scopus 로고
    • Meromorphic solutions of nonlinear ordinary differential equations
    • Kudryahsov N.A. Meromorphic solutions of nonlinear ordinary differential equations. Commun Nonlinear Sci Numer Simul 2010, 15:2778-2790.
    • (2010) Commun Nonlinear Sci Numer Simul , vol.15 , pp. 2778-2790
    • Kudryahsov, N.A.1
  • 20
    • 0000607676 scopus 로고
    • Exact solutions of the generalized Kuramoto-Sivashinsky equation
    • Kudryashov N.A. Exact solutions of the generalized Kuramoto-Sivashinsky equation. Phys Lett A 1990, 147:287-291.
    • (1990) Phys Lett A , vol.147 , pp. 287-291
    • Kudryashov, N.A.1
  • 21
    • 13444309466 scopus 로고    scopus 로고
    • Simplest equation method to look for exact solutions of nonlinear differential equations
    • Kudryashov N.A. Simplest equation method to look for exact solutions of nonlinear differential equations. Chaos, Solitons Fractals 2005, 24(5):1217-1231.
    • (2005) Chaos, Solitons Fractals , vol.24 , Issue.5 , pp. 1217-1231
    • Kudryashov, N.A.1
  • 22
    • 4344573982 scopus 로고    scopus 로고
    • Nonlinear differential equations with exact solutions expressed via the Weierstrass function
    • a
    • Kudryashov N.A. Nonlinear differential equations with exact solutions expressed via the Weierstrass function. Z Naturforsch 2004, 59a:443-454.
    • (2004) Z Naturforsch , vol.59 , pp. 443-454
    • Kudryashov, N.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.