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Volumn 37, Issue 4, 2008, Pages 1193-1197

Periodic and solitary wave solutions of Kawahara and modified Kawahara equations by using Sine-Cosine method

Author keywords

[No Author keywords available]

Indexed keywords

COSINE TRANSFORMS; PROBLEM SOLVING; SOLITONS;

EID: 40749094121     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.10.012     Document Type: Article
Times cited : (93)

References (23)
  • 2
    • 0001472555 scopus 로고
    • Weakly non-local solitons for capillary-gravity waves: fifth degree KdV equation
    • Boyd J.P. Weakly non-local solitons for capillary-gravity waves: fifth degree KdV equation. Physica D 48 (1991) 129-146
    • (1991) Physica D , vol.48 , pp. 129-146
    • Boyd, J.P.1
  • 3
    • 4344673183 scopus 로고    scopus 로고
    • A note on the homogeneous balance method
    • Fan E., and Zhang H. A note on the homogeneous balance method. Phys Lett A 246 (1998) 403-406
    • (1998) Phys Lett A , vol.246 , pp. 403-406
    • Fan, E.1    Zhang, H.2
  • 4
    • 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
    • (2000) Phys Lett A , vol.277 , pp. 212
    • Fan, E.1
  • 5
    • 0013052570 scopus 로고
    • Direct method of finding exact solutions of nonlinear evolution equations
    • Bullough R., and Caudrey P. (Eds), Springer, Berlin
    • Hirota R. Direct method of finding exact solutions of nonlinear evolution equations. In: Bullough R., and Caudrey P. (Eds). Backlund transformations (1980), Springer, Berlin 1157-1175
    • (1980) Backlund transformations , pp. 1157-1175
    • Hirota, R.1
  • 6
    • 0000219244 scopus 로고
    • Existence of perturbed solitary wave solutions to a model equation for water waves
    • Hunter J.K., and Scheule J. Existence of perturbed solitary wave solutions to a model equation for water waves. Physica D 32 (1988) 253
    • (1988) Physica D , vol.32 , pp. 253
    • Hunter, J.K.1    Scheule, J.2
  • 7
    • 77952762814 scopus 로고
    • Oscillatory solitary waves in dispersive media
    • Kawahara T. Oscillatory solitary waves in dispersive media. J Phys Soc Jpn 33 (1972) 260
    • (1972) J Phys Soc Jpn , vol.33 , pp. 260
    • Kawahara, T.1
  • 8
    • 0000068096 scopus 로고    scopus 로고
    • The tanh method: I. Exact solutions of nonlinear evolution wave equations
    • Malfliet W., and Hereman W. The tanh method: I. Exact solutions of nonlinear evolution wave equations. Phys Sprica 54 (1996) 569-575
    • (1996) Phys Sprica , vol.54 , pp. 569-575
    • Malfliet, W.1    Hereman, W.2
  • 9
    • 0038451356 scopus 로고    scopus 로고
    • New exact travelling wave solutions for the Kawahara and modified Kawahara equations
    • Sirendaoreji S.J. New exact travelling wave solutions for the Kawahara and modified Kawahara equations. Chaos, Solitons & Fractals 19 (2004) 147-150
    • (2004) Chaos, Solitons & Fractals , vol.19 , pp. 147-150
    • Sirendaoreji, S.J.1
  • 10
    • 38849179648 scopus 로고    scopus 로고
    • Existence and uniqueness of solutions to nonlinear Kawahara equations
    • Shuangping T., and Shuangbin C. Existence and uniqueness of solutions to nonlinear Kawahara equations. Chin Ann Math Ser A 23 2 (2002) 221-228
    • (2002) Chin Ann Math Ser A , vol.23 , Issue.2 , pp. 221-228
    • Shuangping, T.1    Shuangbin, C.2
  • 11
    • 0037411678 scopus 로고    scopus 로고
    • A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation
    • Vakhnenko V.O., J Parkes E., and Morrison A.J. A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation. Chaos, Solitons & Fractals 17 4 (2003) 683-692
    • (2003) Chaos, Solitons & Fractals , vol.17 , Issue.4 , pp. 683-692
    • Vakhnenko, V.O.1    J Parkes, E.2    Morrison, A.J.3
  • 12
    • 0038239685 scopus 로고    scopus 로고
    • Constructing exact solutions for two-dimensional nonlinear dispersion Boussinesq equation. II: Solitary pattern solutions
    • Yan Z. Constructing exact solutions for two-dimensional nonlinear dispersion Boussinesq equation. II: Solitary pattern solutions. Chaos, Solitons & Fractals 18 4 (2003) 869-880
    • (2003) Chaos, Solitons & Fractals , vol.18 , Issue.4 , pp. 869-880
    • Yan, Z.1
  • 13
    • 40749130773 scopus 로고    scopus 로고
    • Yusufoglu E, Bekir A. A travelling wave solution to the Ostrovsky equation. Appl Math Comput, in press.
    • Yusufoglu E, Bekir A. A travelling wave solution to the Ostrovsky equation. Appl Math Comput, in press.
  • 14
    • 0035517241 scopus 로고    scopus 로고
    • Introduction to solitons
    • Wadati M. Introduction to solitons. Pramana: J Phys 57 5-6 (2001) 841-847
    • (2001) Pramana: J Phys , vol.57 , Issue.5-6 , pp. 841-847
    • Wadati, M.1
  • 15
    • 0347821899 scopus 로고
    • The exact solution of the modified Korteweg-de Vries equation
    • Wadati M. The exact solution of the modified Korteweg-de Vries equation. J Phys Soc Jpn 32 (1972) 1681-1687
    • (1972) J Phys Soc Jpn , vol.32 , pp. 1681-1687
    • Wadati, M.1
  • 16
    • 0007690397 scopus 로고
    • The modified Korteweg-de Vries equation
    • Wadati M. The modified Korteweg-de Vries equation. J Phys Soc Jpn 34 (1973) 1289-1296
    • (1973) J Phys Soc Jpn , vol.34 , pp. 1289-1296
    • Wadati, M.1
  • 17
    • 27144474748 scopus 로고    scopus 로고
    • Two reliable methods for solving variants of the KdV equation with compact and noncompact structures
    • Wazwaz A.M. Two reliable methods for solving variants of the KdV equation with compact and noncompact structures. Chaos, Solitons & Fractals 28 2 (2006) 454-462
    • (2006) Chaos, Solitons & Fractals , vol.28 , Issue.2 , pp. 454-462
    • Wazwaz, A.M.1
  • 18
    • 18844363745 scopus 로고    scopus 로고
    • Nonlinear variants of the BBM equation with compact and noncompact physical structures
    • Wazwaz A.M., and Helal M.A. Nonlinear variants of the BBM equation with compact and noncompact physical structures. Chaos, Solitons & Fractals 26 3 (2005) 767-776
    • (2005) Chaos, Solitons & Fractals , vol.26 , Issue.3 , pp. 767-776
    • Wazwaz, A.M.1    Helal, M.A.2
  • 19
    • 1842476790 scopus 로고    scopus 로고
    • New compactons, solitons and periodic solutions for nonlinear variants of the KdV and the KP equations
    • M Wazwaz A. New compactons, solitons and periodic solutions for nonlinear variants of the KdV and the KP equations. Chaos, Solitons & Fractals 22 1 (2004) 249-260
    • (2004) Chaos, Solitons & Fractals , vol.22 , Issue.1 , pp. 249-260
    • M Wazwaz, A.1
  • 20
    • 26844508856 scopus 로고    scopus 로고
    • Exact and explicit travelling wave solutions for the nonlinear Drinfeld-Sokolov system
    • M Wazwaz A. Exact and explicit travelling wave solutions for the nonlinear Drinfeld-Sokolov system. Commun Nonlin Sci Numer Simul 11 (2006) 311-325
    • (2006) Commun Nonlin Sci Numer Simul , vol.11 , pp. 311-325
    • M Wazwaz, A.1
  • 21
    • 12944300203 scopus 로고    scopus 로고
    • A sine-cosine method for handling nonlinear wave equations
    • Wazwaz A.M. A sine-cosine method for handling nonlinear wave equations. Math Comput Model 40 (2004) 499-508
    • (2004) Math Comput Model , vol.40 , pp. 499-508
    • Wazwaz, A.M.1
  • 22
    • 0037697149 scopus 로고    scopus 로고
    • Compacton solutions of the Kawahara-type nonlinear dispersive equation
    • Wazwaz A.M. Compacton solutions of the Kawahara-type nonlinear dispersive equation. Appl Math Comput 145 (2003) 133-150
    • (2003) Appl Math Comput , vol.145 , pp. 133-150
    • Wazwaz, A.M.1
  • 23
    • 18444384233 scopus 로고    scopus 로고
    • Zhang D., and equations D.p.s.o.t.m.K. Chaos, Solitons & Fractals 25 (2005) 1155-1160
    • (2005) Solitons & Fractals , vol.25 , pp. 1155-1160
    • Zhang, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.