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Volumn 14, Issue 1, 2009, Pages 2-11

New periodic wave solutions via extended mapping method

Author keywords

Extended mapping method; New periodic wave solutions; Nonlinear evolution equations

Indexed keywords

MAPPING; RATIONAL FUNCTIONS; SCHRODINGER EQUATION;

EID: 45249099532     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2007.06.010     Document Type: Review
Times cited : (25)

References (37)
  • 1
    • 35949040541 scopus 로고
    • Exact solutions of the KdV equation for multiple collisions of solitons
    • Hirota R. Exact solutions of the KdV equation for multiple collisions of solitons. Phys Rev Lett 27 (1971) 1192
    • (1971) Phys Rev Lett , vol.27 , pp. 1192
    • Hirota, R.1
  • 2
    • 0001725987 scopus 로고
    • Simple derivation of Bucklund transformation from Riccati form of inverse method
    • Wadati M., and Konno K. Simple derivation of Bucklund transformation from Riccati form of inverse method. Prog Theor Phys 53 6 (1975) 1652-1656
    • (1975) Prog Theor Phys , vol.53 , Issue.6 , pp. 1652-1656
    • Wadati, M.1    Konno, K.2
  • 3
    • 77952771289 scopus 로고
    • Wave propagation in nonlinear lattice. I
    • Wadati M. Wave propagation in nonlinear lattice. I. J Phys Soc Japan 38 3 (1975) 673-680
    • (1975) J Phys Soc Japan , vol.38 , Issue.3 , pp. 673-680
    • Wadati, M.1
  • 5
    • 0003032052 scopus 로고
    • Painleve expansions for nonintegrable evolution equations
    • Cariello F., and Tabor M. Painleve expansions for nonintegrable evolution equations. Physica D 39 (1989) 77-94
    • (1989) Physica D , vol.39 , pp. 77-94
    • Cariello, F.1    Tabor, M.2
  • 6
    • 30244524644 scopus 로고    scopus 로고
    • Application of a homogeneous balance method to exact solutions of nonlinear equation in mathematical physics
    • Wang M.L. Application of a homogeneous balance method to exact solutions of nonlinear equation in mathematical physics. Phys Lett A 216 (1996) 67
    • (1996) Phys Lett A , vol.216 , pp. 67
    • Wang, M.L.1
  • 7
    • 33645081966 scopus 로고    scopus 로고
    • New solitons and periodic wave solutions for nonlinear evolution equations
    • El-Wakil S.A., Abdou M.A., and Elhanbaly A. New solitons and periodic wave solutions for nonlinear evolution equations. Phys Lett A 353 (2006) 40-47
    • (2006) Phys Lett A , vol.353 , pp. 40-47
    • El-Wakil, S.A.1    Abdou, M.A.2    Elhanbaly, A.3
  • 8
    • 0035813363 scopus 로고    scopus 로고
    • New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations
    • Fu Z.T., Liu S.K., Liu S.D., and Zhao Q. New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations. Phys Lett A 290 (2001) 72-76
    • (2001) Phys Lett A , vol.290 , pp. 72-76
    • Fu, Z.T.1    Liu, S.K.2    Liu, S.D.3    Zhao, Q.4
  • 9
    • 0034606149 scopus 로고    scopus 로고
    • Extended tanh function method and its applications to nonlinear equations
    • Fan E. 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
  • 10
    • 33747348716 scopus 로고    scopus 로고
    • New exact travelling wave solutions using modified extended tanh-function method
    • El-Wakil S.A., and Abdou M.A. New exact travelling wave solutions using modified extended tanh-function method. Chaos Soliton Fract 31 (2007) 840-852
    • (2007) Chaos Soliton Fract , vol.31 , pp. 840-852
    • El-Wakil, S.A.1    Abdou, M.A.2
  • 11
    • 85196215387 scopus 로고    scopus 로고
    • El-Wakil SA, Abdou MA. New exact travelling wave solutions of two nonlinear physical models. Nonlinear Anal, in press.
    • El-Wakil SA, Abdou MA. New exact travelling wave solutions of two nonlinear physical models. Nonlinear Anal, in press.
  • 12
    • 33745810605 scopus 로고    scopus 로고
    • The extended F-expansion method and its applications for a class of nonlinear evolution equations
    • Abdou M.A. The extended F-expansion method and its applications for a class of nonlinear evolution equations. Chaos Soliton Fract 31 (2007) 95-104
    • (2007) Chaos Soliton Fract , vol.31 , pp. 95-104
    • Abdou, M.A.1
  • 13
    • 85196188333 scopus 로고    scopus 로고
    • Abdou MA. Further improved F-expansion and new exact solutions for nonlinear evolution equations. J Nonlinear Dynam, in press.
    • Abdou MA. Further improved F-expansion and new exact solutions for nonlinear evolution equations. J Nonlinear Dynam, in press.
  • 14
    • 85196192572 scopus 로고    scopus 로고
    • Elhanbaly A, Abdou MA. Exact travelling wave solutions for two nonlinear evolution equations using improved F-expansion method. Math Comput Modell, in press.
    • Elhanbaly A, Abdou MA. Exact travelling wave solutions for two nonlinear evolution equations using improved F-expansion method. Math Comput Modell, in press.
  • 15
    • 13444310842 scopus 로고    scopus 로고
    • Application of F-expansion to periodic wave solutions of a new Hamiltonian amplitude equation
    • Wang M., and Li X. Application of F-expansion to periodic wave solutions of a new Hamiltonian amplitude equation. Chaos Soliton Fract 24 (2005) 1257-1268
    • (2005) Chaos Soliton Fract , vol.24 , pp. 1257-1268
    • Wang, M.1    Li, X.2
  • 16
    • 21744454984 scopus 로고    scopus 로고
    • Extended F-expansion method and period wave solutions for the generalized Zakharov equations
    • Wang M., and Li X. Extended F-expansion method and period wave solutions for the generalized Zakharov equations. Phys Lett A 343 (2005) 48-54
    • (2005) Phys Lett A , vol.343 , pp. 48-54
    • Wang, M.1    Li, X.2
  • 17
    • 27144467065 scopus 로고    scopus 로고
    • New applications of variational iteration method
    • Abdou M.A., and Soliman A.A. New applications of variational iteration method. Physica D 211 (2005) 1-8
    • (2005) Physica D , vol.211 , pp. 1-8
    • Abdou, M.A.1    Soliman, A.A.2
  • 18
    • 34247629670 scopus 로고    scopus 로고
    • On the variational iteration method
    • Abdou M.A. On the variational iteration method. Phys Lett A 366 (2007) 61-68
    • (2007) Phys Lett A , vol.366 , pp. 61-68
    • Abdou, M.A.1
  • 19
    • 85196180907 scopus 로고    scopus 로고
    • He JH. Non perturbative method for strongly nonlinear problems. Dissertation, de Verlag in Internt GmbH, Berlin; 2006.
    • He JH. Non perturbative method for strongly nonlinear problems. Dissertation, de Verlag in Internt GmbH, Berlin; 2006.
  • 20
    • 1142306255 scopus 로고    scopus 로고
    • Science & Culture Publishing House of China, Hong Kong [in Chinese]
    • He J.H. Generalized variational principles in fluids (2003), Science & Culture Publishing House of China, Hong Kong [in Chinese]
    • (2003) Generalized variational principles in fluids
    • He, J.H.1
  • 21
    • 85196206721 scopus 로고    scopus 로고
    • El-Wakil SA, Abdou MA. New applications of variational iteration method using Adomian polynomials. Nonlinear Dynam, in press.
    • El-Wakil SA, Abdou MA. New applications of variational iteration method using Adomian polynomials. Nonlinear Dynam, in press.
  • 22
    • 19144365030 scopus 로고    scopus 로고
    • Variational iteration method for solving Burger's and coupled Burger's equations
    • Abdou M.A., and Soliman A.A. Variational iteration method for solving Burger's and coupled Burger's equations. J Comput Appl Math 181 (2005) 245-251
    • (2005) J Comput Appl Math , vol.181 , pp. 245-251
    • Abdou, M.A.1    Soliman, A.A.2
  • 23
    • 33745492440 scopus 로고    scopus 로고
    • Decomposition method for solving a system of coupled fractional-time nonlinear equations
    • Abdou M., and Elhanbaly A. Decomposition method for solving a system of coupled fractional-time nonlinear equations. Phys Scripta 73 (2006) 338-348
    • (2006) Phys Scripta , vol.73 , pp. 338-348
    • Abdou, M.1    Elhanbaly, A.2
  • 24
    • 85196199731 scopus 로고    scopus 로고
    • Mustafa Inc. Numerical simulation of KdV and mKdV equations with initial conditions by the variational iteration method. Chaos Soliton Fract 2007;34:1075-81.
    • Mustafa Inc. Numerical simulation of KdV and mKdV equations with initial conditions by the variational iteration method. Chaos Soliton Fract 2007;34:1075-81.
  • 25
    • 33845190829 scopus 로고    scopus 로고
    • Exact and numerical solitary wave solutions of generalized Zakharov equation by the Adomian decomposition method
    • Wang Y.-y., Dai C.-q., Wu L., and Zhang J.-f. Exact and numerical solitary wave solutions of generalized Zakharov equation by the Adomian decomposition method. Chaos Soliton Fract 32 (2007) 1208-1214
    • (2007) Chaos Soliton Fract , vol.32 , pp. 1208-1214
    • Wang, Y.-y.1    Dai, C.-q.2    Wu, L.3    Zhang, J.-f.4
  • 26
    • 33845229154 scopus 로고    scopus 로고
    • The solution of Burgers and good Boussinesq equations using ADMPad technique
    • Abassy T.A., El-Tawil M.A., and Saleh H.K. The solution of Burgers and good Boussinesq equations using ADMPad technique. Chaos Soliton Fract 32 (2007) 1008-1026
    • (2007) Chaos Soliton Fract , vol.32 , pp. 1008-1026
    • Abassy, T.A.1    El-Tawil, M.A.2    Saleh, H.K.3
  • 27
    • 34250163508 scopus 로고    scopus 로고
    • New periodic solution for nonlinear evolution equations using Exp-function method
    • He J.-H., and Abdou M.A. New periodic solution for nonlinear evolution equations using Exp-function method. Chaos Soliton Fract 34 (2007) 1421-1429
    • (2007) Chaos Soliton Fract , vol.34 , pp. 1421-1429
    • He, J.-H.1    Abdou, M.A.2
  • 28
    • 85196167949 scopus 로고    scopus 로고
    • Abdou MA. Generalized solitonary and periodic solutions for nonlinear partial differential equations by the Exp-function method. J Nonlinear Dynam, in press.
    • Abdou MA. Generalized solitonary and periodic solutions for nonlinear partial differential equations by the Exp-function method. J Nonlinear Dynam, in press.
  • 29
    • 85196142370 scopus 로고    scopus 로고
    • Zhang S. Application of Exp-function method to high-dimensional nonlinear evolution equation. Chaos Soliton Fract, in press.
    • Zhang S. Application of Exp-function method to high-dimensional nonlinear evolution equation. Chaos Soliton Fract, in press.
  • 30
    • 85196208192 scopus 로고    scopus 로고
    • El-Wakil SA, Madkour MA, Abdou MA. Application of Exp-function method for nonlinear evolution equations with variable coefficients. Phys Lett A, in press.
    • El-Wakil SA, Madkour MA, Abdou MA. Application of Exp-function method for nonlinear evolution equations with variable coefficients. Phys Lett A, in press.
  • 31
    • 33747889358 scopus 로고    scopus 로고
    • The extended mapping method and its applications for nonlinear evolutions equations
    • El-Wakil S.A., Abdou M.A., and Elhanbaly A. The extended mapping method and its applications for nonlinear evolutions equations. Phys Lett A 358 (2006) 275-282
    • (2006) Phys Lett A , vol.358 , pp. 275-282
    • El-Wakil, S.A.1    Abdou, M.A.2    Elhanbaly, A.3
  • 32
    • 29544436249 scopus 로고    scopus 로고
    • Abundant families of Jacobi elliptic function-like solutions for a generalized variable coefficients 2D KdV equation via the extended mapping method
    • Yomba E. Abundant families of Jacobi elliptic function-like solutions for a generalized variable coefficients 2D KdV equation via the extended mapping method. Phys Lett A 349 (2006) 212-219
    • (2006) Phys Lett A , vol.349 , pp. 212-219
    • Yomba, E.1
  • 33
    • 85196167689 scopus 로고    scopus 로고
    • Abdou MA. New exact travelling wave solutions for the generalized nonlinear Schroedinger equation with a source. Chaos, Soliton Fract, in press.
    • Abdou MA. New exact travelling wave solutions for the generalized nonlinear Schroedinger equation with a source. Chaos, Soliton Fract, in press.
  • 34
    • 33344467245 scopus 로고    scopus 로고
    • Exact solutions of the derivative nonlinear Schrodinger equation for a nonlinear transmission line
    • Kengne E., and Liu W.M. Exact solutions of the derivative nonlinear Schrodinger equation for a nonlinear transmission line. Phys Rev E 73 (2006) 026603
    • (2006) Phys Rev E , vol.73 , pp. 026603
    • Kengne, E.1    Liu, W.M.2
  • 35
    • 33748800978 scopus 로고    scopus 로고
    • Modulational instability criteria for coupled nonlinear transmission lines with dispersive element
    • Kengne E., Chui S.T., and Liu W.M. Modulational instability criteria for coupled nonlinear transmission lines with dispersive element. Phys Rev E 74 (2006) 036614
    • (2006) Phys Rev E , vol.74 , pp. 036614
    • Kengne, E.1    Chui, S.T.2    Liu, W.M.3
  • 36
    • 33745034015 scopus 로고    scopus 로고
    • Exact soliton-on-plane-wave solutions for two-component Bose-Einstein condensates
    • Li L., Malomed B.A., Mihalache D., and Liu W.M. Exact soliton-on-plane-wave solutions for two-component Bose-Einstein condensates. Phys Rev E 73 (2006) 066610
    • (2006) Phys Rev E , vol.73 , pp. 066610
    • Li, L.1    Malomed, B.A.2    Mihalache, D.3    Liu, W.M.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.