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Volumn 18, Issue 2, 2006, Pages 381-391

Classification of traveling waves for a class of nonlinear wave equations

Author keywords

Shallow water equations; Traveling wave solutions

Indexed keywords


EID: 33744750216     PISSN: 10407294     EISSN: 15729222     Source Type: Journal    
DOI: 10.1007/s10884-006-9009-2     Document Type: Article
Times cited : (15)

References (15)
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  • 3
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    • A new integrable shallow water equation
    • Camassa, R., Holm, D., and Hyman, J. (1994). A new integrable shallow water equation. Adv. Appl. Mech. 31, 1-33.
    • (1994) Adv. Appl. Mech. , vol.31 , pp. 1-33
    • Camassa, R.1    Holm, D.2    Hyman, J.3
  • 4
    • 84862801191 scopus 로고    scopus 로고
    • Traveling wave solutions for a class of one-dimensional nonlinear shallow water wave models
    • Cao, C., Holm, D., and Titi, E. (2004). Traveling wave solutions for a class of one-dimensional nonlinear shallow water wave models. J. Dyn. Diff. Equal. 16, 1661-1664.
    • (2004) J. Dyn. Diff. Equal. , vol.16 , pp. 1661-1664
    • Cao, C.1    Holm, D.2    Titi, E.3
  • 5
    • 0033415933 scopus 로고    scopus 로고
    • A shallow water equation on the circle
    • Constantin, A., and McKean, H. P. (1999). A shallow water equation on the circle. Comm. Pure Appl. Math. 52, 949-982.
    • (1999) Comm. Pure Appl. Math. , vol.52 , pp. 949-982
    • Constantin, A.1    McKean, H.P.2
  • 6
    • 0034349440 scopus 로고    scopus 로고
    • Global weak solutions for a shallow water equation
    • Constantin, A., and Molinet, L.(2000). Global weak solutions for a shallow water equation. Comm. Math. Phys. 211, 45-61.
    • (2000) Comm. Math. Phys. , vol.211 , pp. 45-61
    • Constantin, A.1    Molinet, L.2
  • 8
    • 0000380413 scopus 로고    scopus 로고
    • Stability of the Camassa-Holm solitons
    • Constantin, A., and Strauss, W. (2002). Stability of the Camassa-Holm solitons. J. Nonlinear Sci. 12, 415-422.
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    • Constantin, A.1    Strauss, W.2
  • 9
    • 40749103220 scopus 로고    scopus 로고
    • An integrable shallow water equation with linear and nonlinear dispersion
    • Dullin, H., Gottwald, G., and Holm, D. (2001). An integrable shallow water equation with linear and nonlinear dispersion. Phys. Rev. Lett. 87, 4501-4504.
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 4501-4504
    • Dullin, H.1    Gottwald, G.2    Holm, D.3
  • 10
    • 4043101891 scopus 로고    scopus 로고
    • Wave structure and nonlinear balances in a family of evolutionary PDEs
    • Holm, D., and Staley, M. (2003). Wave structure and nonlinear balances in a family of evolutionary PDEs. SIAM J. Appl. Dyn. Syst. 2, 323-380.
    • (2003) SIAM J. Appl. Dyn. Syst. , vol.2 , pp. 323-380
    • Holm, D.1    Staley, M.2
  • 11
    • 0037171407 scopus 로고    scopus 로고
    • Camassa-Holm, Korteweg-de Vries and related models for water waves
    • Johnson, R. (2002). Camassa-Holm, Korteweg-de Vries and related models for water waves. J. Fluid Much. 455, 63-82.
    • (2002) J. Fluid Much. , vol.455 , pp. 63-82
    • Johnson, R.1
  • 12
    • 13544277180 scopus 로고    scopus 로고
    • Numerical study of traveling-wave solutions for the Camassa-Holm equation
    • Kalisch, H., and Lenells, J. (2005). Numerical study of traveling-wave solutions for the Camassa-Holm equation. Chaos, Solitons Fractals 25, 287-298.
    • (2005) Chaos, Solitons Fractals , vol.25 , pp. 287-298
    • Kalisch, H.1    Lenells, J.2
  • 13
    • 1342267624 scopus 로고    scopus 로고
    • Stability of periodic peakons
    • Lenells, J. (2004). Stability of periodic peakons. Int. Math. Res. Not. 10, 485-499.
    • (2004) Int. Math. Res. Not. , vol.10 , pp. 485-499
    • Lenells, J.1
  • 14
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    • A variational approach to the stability of periodic peakons
    • Lenells, J. (2004). A variational approach to the stability of periodic peakons. J. Nonlinear Math. Phys. 11, 151-163.
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    • Lenells, J.1
  • 15
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    • Traveling wave solutions of the Camassa-Holm equation
    • Lenells, J. (2005). Traveling wave solutions of the Camassa-Holm equation. J. Diff. Equat. 217, 393-430.
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    • Lenells, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.