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Volumn 186, Issue 1, 2007, Pages 256-260

A travelling wave solution to the Ostrovsky equation

Author keywords

Exponential rational function method; Hyperbolic tangent method; Ostrovsky equation; Travelling wave solution

Indexed keywords

ASYMPTOTIC STABILITY; FUNCTIONS; NUMERICAL METHODS; WAVE PROPAGATION;

EID: 33947327251     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.07.099     Document Type: Article
Times cited : (31)

References (21)
  • 3
    • 0036466870 scopus 로고    scopus 로고
    • Five regimes of the quasi-cnoidal, steadily translating waves of the ratation modified Korteweg-de Vries (Ostrovsky) equation
    • Boyd J.P., and Chen G.Y. Five regimes of the quasi-cnoidal, steadily translating waves of the ratation modified Korteweg-de Vries (Ostrovsky) equation. Wave Motion 35 (2002) 141-155
    • (2002) Wave Motion , vol.35 , pp. 141-155
    • Boyd, J.P.1    Chen, G.Y.2
  • 4
    • 3042713895 scopus 로고    scopus 로고
    • A travelling wave solution to the Korteweg-de Vries-Burger equation
    • Demiray H. A travelling wave solution to the Korteweg-de Vries-Burger equation. Appl. Math. Comput. 154 (2004) 665-670
    • (2004) Appl. Math. Comput. , vol.154 , pp. 665-670
    • Demiray, H.1
  • 5
    • 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
  • 6
    • 0034606149 scopus 로고    scopus 로고
    • Extented tanh-function method and its applications to nonlinear equations
    • Fan E. Extented 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
  • 7
    • 0043038583 scopus 로고
    • Approximate analytical and numerical solutions of the stationary Ostrovsky equation
    • Gilman O.A., Grimshaw R., and Stepanyants Yu.A. Approximate analytical and numerical solutions of the stationary Ostrovsky equation. Stud. Appl. Math. 95 (1995) 115-126
    • (1995) Stud. Appl. Math. , vol.95 , pp. 115-126
    • Gilman, O.A.1    Grimshaw, R.2    Stepanyants, Yu.A.3
  • 8
    • 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
  • 9
    • 0001229736 scopus 로고
    • Solitary wave solutions of nonlinear wave equations
    • Malfliet W. Solitary wave solutions of nonlinear wave equations. Am. J. Phys. 60 (1992) 650-654
    • (1992) Am. J. Phys. , vol.60 , pp. 650-654
    • Malfliet, W.1
  • 10
    • 0000068096 scopus 로고    scopus 로고
    • The tanh method: I. Exact solutions of nonlinear evolution and wave equations
    • Malfliet W., and Hereman W. The tanh method: I. Exact solutions of nonlinear evolution and wave equations. Phys. Spc. 54 (1996) 569-575
    • (1996) Phys. Spc. , vol.54 , pp. 569-575
    • Malfliet, W.1    Hereman, W.2
  • 11
    • 0001609389 scopus 로고
    • Nonlinear internal waves in a rotating ocean
    • Ostrovsky L.A. Nonlinear internal waves in a rotating ocean. Oceanology 18 (1978) 119-125
    • (1978) Oceanology , vol.18 , pp. 119-125
    • Ostrovsky, L.A.1
  • 12
    • 12044253199 scopus 로고
    • Compactons: solitons with finite wavelengths
    • Rosenau P., and Hyman J.M. Compactons: solitons with finite wavelengths. Phys. Rev. Lett. 70-75 (1993) 564-567
    • (1993) Phys. Rev. Lett. , vol.70-75 , pp. 564-567
    • Rosenau, P.1    Hyman, J.M.2
  • 13
    • 0008071969 scopus 로고    scopus 로고
    • Lie symmetries, Kac-Moody-Virasoro algebras and integrability of certain (2+1)-dimensional nonlinear evolution equations
    • Senthilvelan M., and Laksmanan M. Lie symmetries, Kac-Moody-Virasoro algebras and integrability of certain (2+1)-dimensional nonlinear evolution equations. J. Nonlinear Math. Phys. 5 (1998) 190-211
    • (1998) J. Nonlinear Math. Phys. , vol.5 , pp. 190-211
    • Senthilvelan, M.1    Laksmanan, M.2
  • 14
    • 0013232245 scopus 로고    scopus 로고
    • The two loop soliton of the Vakhnenko equation
    • Vakhnenko V.O., and Parkes E.J. The two loop soliton of the Vakhnenko equation. Nonlinearity 11 (1998) 1457-1464
    • (1998) Nonlinearity , vol.11 , pp. 1457-1464
    • Vakhnenko, V.O.1    Parkes, E.J.2
  • 15
    • 0036643094 scopus 로고    scopus 로고
    • The calculation of multi-soliton solutions of Vakhnenko equation
    • Vakhnenko V.O., and Parkes E.J. The calculation of multi-soliton solutions of Vakhnenko equation. Chaos, Soliton and Fractals 13 (2002) 1819-1826
    • (2002) Chaos, Soliton and Fractals , vol.13 , pp. 1819-1826
    • Vakhnenko, V.O.1    Parkes, E.J.2
  • 16
    • 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
  • 17
    • 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
  • 18
    • 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
  • 19
    • 0001051423 scopus 로고    scopus 로고
    • Exact solutions for a compound KdV-Burgers equation
    • Wang M.L. Exact solutions for a compound KdV-Burgers equation. Phys. Lett. A 213 (1996) 279-287
    • (1996) Phys. Lett. A , vol.213 , pp. 279-287
    • Wang, M.L.1
  • 20
    • 20844437798 scopus 로고    scopus 로고
    • The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants
    • Wazwaz A.M. The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants. Commun. Nonlinear Sci. Numer. Simul. 11 2 (2006) 148-160
    • (2006) Commun. Nonlinear Sci. Numer. Simul. , vol.11 , Issue.2 , pp. 148-160
    • Wazwaz, A.M.1
  • 21
    • 27944503380 scopus 로고    scopus 로고
    • The tanh method and the sine-cosine method for solving the KP-MEW equation
    • M Wazwaz A. The tanh method and the sine-cosine method for solving the KP-MEW equation. Int. J. Comput. Math. 82 2 (2005) 235-246
    • (2005) Int. J. Comput. Math. , vol.82 , Issue.2 , pp. 235-246
    • M Wazwaz, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.