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Volumn 9, Issue 4, 2002, Pages 389-393

The scattering approach for the camassa–holm equation

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EID: 0036434830     PISSN: 14029251     EISSN: 17760852     Source Type: Journal    
DOI: 10.2991/jnmp.2002.9.4.2     Document Type: Letter
Times cited : (79)

References (11)
  • 1
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    • An Integrable Shallow Water Equation with Peaked Solitons
    • Camassa, R, and Holm, D. 1993. An Integrable Shallow Water Equation with Peaked Solitons. Phys. Rev. Lett., 71:1661–1664.
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 1661-1664
    • Camassa, R.1    Holm, D.2
  • 2
    • 56349110516 scopus 로고
    • 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
  • 3
    • 0034415062 scopus 로고    scopus 로고
    • Existence of Permanent and Breaking Waves for a Shallow Water Equation
    • Constantin, A. 2000. Existence of Permanent and Breaking Waves for a Shallow Water Equation. Ann. Inst. Fourier (Grenoble), 50:321–362.
    • (2000) Ann. Inst. Fourier (Grenoble) , vol.50 , pp. 321-362
    • Constantin, A.1
  • 4
    • 34447130573 scopus 로고    scopus 로고
    • On the Scattering Problem for the Camassa–Holm Equation
    • Constantin, A. 2001. On the Scattering Problem for the Camassa–Holm Equation. Proc. Roy. Soc. London A, 457:953–970.
    • (2001) Proc. Roy. Soc. London A , vol.457 , pp. 953-970
    • Constantin, A.1
  • 5
    • 0000985293 scopus 로고    scopus 로고
    • Wave Breaking for Nonlinear Nonlocal Shallow Water Equations
    • Constantin, A, and Escher, J. 1998. Wave Breaking for Nonlinear Nonlocal Shallow Water Equations. Acta Mathematica, 181:229–243.
    • (1998) Acta Mathematica , vol.181 , pp. 229-243
    • Constantin, A.1    Escher, J.2
  • 6
    • 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.
    • (2002) J. Nonlinear Sci. , vol.12 , pp. 415-422
    • Constantin, A.1    Strauss, W.2
  • 8
    • 49049150360 scopus 로고
    • Symplectic Structures, their Bäcklund Transformation and Hereditary Symmetries
    • Fokas, A, and Fuchssteiner, B. 1981. Symplectic Structures, their Bäcklund Transformation and Hereditary Symmetries. Physica D, 4:47–66.
    • (1981) Physica D , vol.4 , pp. 47-66
    • Fokas, A.1    Fuchssteiner, B.2
  • 9
    • 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 Mech., 455:63–82.
    • (2002) J. Fluid Mech. , vol.455 , pp. 63-82
    • Johnson, R.1
  • 10
    • 85024017725 scopus 로고    scopus 로고
    • On Solutions of the Camassa–Holm Equation, Proc. Roy. Soc. London A, to appear
    • Johnson R, On Solutions of the Camassa–Holm Equation, Proc. Roy. Soc. London A, to appear
    • Johnson, R.1
  • 11
    • 0031535504 scopus 로고    scopus 로고
    • Convergence of Solitary-Wave Solutions in a Perturbed bi-Hamiltonian Dynamical System
    • Li, Y, and Olver, P. 1997. Convergence of Solitary-Wave Solutions in a Perturbed bi-Hamiltonian Dynamical System. Discrete Cont. Dyn. Syst., 3:419–432.
    • (1997) Discrete Cont. Dyn. Syst. , vol.3 , pp. 419-432
    • Li, Y.1    Olver, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.