메뉴 건너뛰기




Volumn 14, Issue 8, 2009, Pages 3220-3225

New application of the fenced(frac(G′, G))-expansion method

Author keywords

Auxiliary ordinary differential equation; Exact complex solutions; Nonlinear partial differential equations

Indexed keywords

LINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE TRANSMISSION;

EID: 60849119823     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2009.01.006     Document Type: Article
Times cited : (147)

References (28)
  • 1
    • 35548948926 scopus 로고    scopus 로고
    • Standing and travelling waves in the shallow-water circular hydraulic jump
    • Ray A.K., and Bhattacharjee J.K. Standing and travelling waves in the shallow-water circular hydraulic jump. Phys Lett A 371 (2007) 241-248
    • (2007) Phys Lett A , vol.371 , pp. 241-248
    • Ray, A.K.1    Bhattacharjee, J.K.2
  • 2
    • 34249733160 scopus 로고    scopus 로고
    • Exact solutions of some nonlinear partial differential equations
    • Inan I.E., and Kaya D. Exact solutions of some nonlinear partial differential equations. Physica A 381 (2007) 104-115
    • (2007) Physica A , vol.381 , pp. 104-115
    • Inan, I.E.1    Kaya, D.2
  • 3
    • 0039266252 scopus 로고
    • An exact solution for a fractional disclination vortex
    • Osipov V.A. An exact solution for a fractional disclination vortex. Phys Lett A 193 (1994) 97-101
    • (1994) Phys Lett A , vol.193 , pp. 97-101
    • Osipov, V.A.1
  • 4
    • 12544259447 scopus 로고    scopus 로고
    • A note on traveling wave solutions for a class of nonlinear viscoelastic media
    • Jordan P.M., and Puri A. A note on traveling wave solutions for a class of nonlinear viscoelastic media. Phys Lett A 335 (2005) 150-156
    • (2005) Phys Lett A , vol.335 , pp. 150-156
    • Jordan, P.M.1    Puri, A.2
  • 5
    • 85196189832 scopus 로고    scopus 로고
    • Jordan PM, Puri A. Addendum to: a note on traveling wave solutions for a class of nonlinear viscoelastic media [Phys Lett A 335 (2005) 150]. Phys Lett A 2007;361:529-33.
    • Jordan PM, Puri A. Addendum to: a note on traveling wave solutions for a class of nonlinear viscoelastic media [Phys Lett A 335 (2005) 150]. Phys Lett A 2007;361:529-33.
  • 6
    • 0037408913 scopus 로고    scopus 로고
    • Generalized method and its application in the higher-order nonlinear Schrodinger equation in nonlinear optical fibres
    • Yan Z.Y. Generalized method and its application in the higher-order nonlinear Schrodinger equation in nonlinear optical fibres. Chaos Solitons Fract 16 (2003) 759-766
    • (2003) Chaos Solitons Fract , vol.16 , pp. 759-766
    • Yan, Z.Y.1
  • 7
    • 0034706492 scopus 로고    scopus 로고
    • Optical solitons in erbium doped fibers with higher order effects
    • Nakkeeran K. Optical solitons in erbium doped fibers with higher order effects. Phys Lett A 275 (2000) 415-418
    • (2000) Phys Lett A , vol.275 , pp. 415-418
    • Nakkeeran, K.1
  • 8
    • 4243350479 scopus 로고
    • Solitary wave solutions for variant Boussinesq equations
    • Wang M.L. Solitary wave solutions for variant Boussinesq equations. Phys Lett A 199 (1995) 169-172
    • (1995) Phys Lett A , vol.199 , pp. 169-172
    • Wang, M.L.1
  • 9
    • 30244524644 scopus 로고    scopus 로고
    • Applications of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
    • Wang M.L., Zhou Y.B., and Li Z.B. Applications of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics. Phys Lett A 216 (1996) 67-75
    • (1996) Phys Lett A , vol.216 , pp. 67-75
    • Wang, M.L.1    Zhou, Y.B.2    Li, Z.B.3
  • 10
    • 0030284901 scopus 로고    scopus 로고
    • An automated tanh-function method for finding solitary wave solutions to non-linear evolution equations
    • Parkes E.J., and Duffy B.R. 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
  • 11
    • 0034606149 scopus 로고    scopus 로고
    • Extended tanh-function method and its applications to nonlinear equations
    • Fan E.G. 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.G.1
  • 12
    • 0035828886 scopus 로고    scopus 로고
    • Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
    • Liu S.K., Fu Z.T., Liu S.D., et al. Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations. Phys Lett A 289 (2001) 69-74
    • (2001) Phys Lett A , vol.289 , pp. 69-74
    • Liu, S.K.1    Fu, Z.T.2    Liu, S.D.3
  • 13
    • 1842586478 scopus 로고    scopus 로고
    • The JEFE method and periodic solutions of two kinds of nonlinear wave equations
    • Fu Z.T., Liu S.K., et al. The JEFE method and periodic solutions of two kinds of nonlinear wave equations. Commun Nonlinear Sci Numer Simulat 8 (2003) 67-75
    • (2003) Commun Nonlinear Sci Numer Simulat , vol.8 , pp. 67-75
    • Fu, Z.T.1    Liu, S.K.2
  • 14
    • 0038451356 scopus 로고    scopus 로고
    • New exact travelling wave solutions for the Kawahara and modified Kawahara equations
    • Sirendaoreji. New exact travelling wave solutions for the Kawahara and modified Kawahara equations. Chaos Soliton Fract 19 (2004) 147-150
    • (2004) Chaos Soliton Fract , vol.19 , pp. 147-150
    • Sirendaoreji1
  • 15
    • 37549033511 scopus 로고    scopus 로고
    • ′, G))-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
    • ′, G))-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics. Phys Lett A 372 (2008) 417-423
    • (2008) Phys Lett A , vol.372 , pp. 417-423
    • Wang, M.L.1    Li, X.Z.2    Zhang, J.L.3
  • 16
    • 39849101219 scopus 로고    scopus 로고
    • ′, G))-expansion method for the mKdV equation with variable coefficients
    • ′, G))-expansion method for the mKdV equation with variable coefficients. Phys Lett A 372 (2008) 2254-2257
    • (2008) Phys Lett A , vol.372 , pp. 2254-2257
    • Zhang, S.1    Tong, J.L.2    Wang, W.3
  • 17
    • 42749091472 scopus 로고    scopus 로고
    • ′, G))-expansion method and its applications
    • ′, G))-expansion method and its applications. Phys Lett A 372 (2008) 3653-3658
    • (2008) Phys Lett A , vol.372 , pp. 3653-3658
    • Zhang, J.1    Wei, X.L.2    Lu, Y.J.3
  • 18
    • 36149034702 scopus 로고
    • Nonlinear evolution equations, rescalings, model PDES and their integrability: I
    • Calogero F., and Eckhaus W. Nonlinear evolution equations, rescalings, model PDES and their integrability: I. Inv Probl 3 (1987) 229-262
    • (1987) Inv Probl , vol.3 , pp. 229-262
    • Calogero, F.1    Eckhaus, W.2
  • 21
    • 0007269572 scopus 로고
    • Nonlinear wave motion governed by the modified Burgers equation
    • Lee-Bapty I.P., and Crighton D.G. Nonlinear wave motion governed by the modified Burgers equation. Phil Trans R Soc Lond A 323 (1987) 173-209
    • (1987) Phil Trans R Soc Lond A , vol.323 , pp. 173-209
    • Lee-Bapty, I.P.1    Crighton, D.G.2
  • 22
    • 48049121054 scopus 로고    scopus 로고
    • Compute the numerical solutions of the MBE using LBM with 2-bit model
    • Duan Y.L., Liu R.X., and Jiang Y.Q. Compute the numerical solutions of the MBE using LBM with 2-bit model. Appl Math Comput 202 (2008) 489-497
    • (2008) Appl Math Comput , vol.202 , pp. 489-497
    • Duan, Y.L.1    Liu, R.X.2    Jiang, Y.Q.3
  • 23
    • 0025703412 scopus 로고
    • A discrete model of a modified Burgers' partial differential equation
    • Mickens R.E., and Shoosmith J.N. A discrete model of a modified Burgers' partial differential equation. J Sound Vib 142 (1990) 536-539
    • (1990) J Sound Vib , vol.142 , pp. 536-539
    • Mickens, R.E.1    Shoosmith, J.N.2
  • 24
    • 24144493756 scopus 로고    scopus 로고
    • Numerical treatment for the modified burgers equation
    • Mohamed A.R., and Talaat S.E. Numerical treatment for the modified burgers equation. Math Comput Simulat 70 (2005) 90-98
    • (2005) Math Comput Simulat , vol.70 , pp. 90-98
    • Mohamed, A.R.1    Talaat, S.E.2
  • 25
    • 35949013721 scopus 로고
    • Explosive instablities of reaction-diffusion equations
    • Wilhelmsson H. Explosive instablities of reaction-diffusion equations. Phys Rev A 36 (1987) 965-966
    • (1987) Phys Rev A , vol.36 , pp. 965-966
    • Wilhelmsson, H.1
  • 26
    • 41949117290 scopus 로고    scopus 로고
    • Some new and solitary travelling wave solutions of certain diffusion-reaction equations using auxilliary equation method
    • Kumar R., Kaushal R., and Prasad A. Some new and solitary travelling wave solutions of certain diffusion-reaction equations using auxilliary equation method. Phys Lett A 372 (2008) 3395-3399
    • (2008) Phys Lett A , vol.372 , pp. 3395-3399
    • Kumar, R.1    Kaushal, R.2    Prasad, A.3
  • 27
    • 43049085209 scopus 로고    scopus 로고
    • Soliton-like solutions of certain types of nonlinear diffusion-reaction equations with variable coefficient
    • Kumar R., Kaushal R., and Prasad A. Soliton-like solutions of certain types of nonlinear diffusion-reaction equations with variable coefficient. Phys Lett A 372 (2008) 1862-1866
    • (2008) Phys Lett A , vol.372 , pp. 1862-1866
    • Kumar, R.1    Kaushal, R.2    Prasad, A.3
  • 28
    • 60849100561 scopus 로고    scopus 로고
    • 1-soliton solution of the nonlinear reaction-diffusion equation
    • Biswas A. 1-soliton solution of the nonlinear reaction-diffusion equation. Int J Chem React Eng 6 (2008) S1
    • (2008) Int J Chem React Eng , vol.6
    • Biswas, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.