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Volumn 10, Issue 3, 2003, Pages 252-255

On the inverse scattering approach to the camassa-holm equation

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EID: 0042023771     PISSN: 14029251     EISSN: 17760852     Source Type: Journal    
DOI: 10.2991/jnmp.2003.10.3.1     Document Type: Letter
Times cited : (37)

References (14)
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    • Camassa, R, and Holm, D. 1993. An Integrable Shallow Water Equation with Peaked Solitons. Phys. Rev. Letters, 71:1661–1664.
    • (1993) Phys. Rev. Letters , vol.71 , pp. 1661-1664
    • Camassa, R.1    Holm, D.2
  • 2
    • 0000684999 scopus 로고    scopus 로고
    • On the Inverse Spectral Problem for the Camassa-Holm Equation
    • Constantin, A. 1998. On the Inverse Spectral Problem for the Camassa-Holm Equation. J. Funct. Anal., 155:352–363.
    • (1998) J. Funct. Anal. , vol.155 , pp. 352-363
    • Constantin, A.1
  • 3
    • 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
  • 4
    • 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
  • 5
    • 0032374820 scopus 로고    scopus 로고
    • Well-Posedness, Global Existence, and Nlowup Phenomena for a Periodic Quasi-Linear Hyperbolic Equation
    • Constantin, A, and Escher, J. 1998. Well-Posedness, Global Existence, and Nlowup Phenomena for a Periodic Quasi-Linear Hyperbolic Equation. Comm. Pure Appl. Math., 51:475–504.
    • (1998) Comm. Pure Appl. Math. , vol.51 , pp. 475-504
    • Constantin, A.1    Escher, J.2
  • 6
    • 0037429683 scopus 로고    scopus 로고
    • On the Inverse Scattering Approach for an Integrable Shallow Water Equation
    • Constantin, A, and Lenells, J. 2003. On the Inverse Scattering Approach for an Integrable Shallow Water Equation. Phys. Lett. A, 308:432–436.
    • (2003) Phys. Lett. A , vol.308 , pp. 432-436
    • Constantin, A.1    Lenells, J.2
  • 7
    • 0033415933 scopus 로고    scopus 로고
    • A Shallow Water Equation on the Circle
    • Constantin, A, and McKean, HP. 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
  • 8
    • 0000380413 scopus 로고    scopus 로고
    • Stability of the Camassa-Holm Solitons
    • Constantin, A, and Strauss, WA. 2002. Stability of the Camassa-Holm Solitons. J. Nonlinear Science, 12:415–422.
    • (2002) J. Nonlinear Science , vol.12 , pp. 415-422
    • Constantin, A.1    Strauss, W.A.2
  • 10
    • 49049150360 scopus 로고
    • Symplectic Structures, Their Bäcklund Transformation and Hereditary Symmetries
    • Fuchssteiner, B, and Fokas, A. 1981. Symplectic Structures, Their Bäcklund Transformation and Hereditary Symmetries. Physica D, 4:47–66.
    • (1981) Physica D , vol.4 , pp. 47-66
    • Fuchssteiner, B.1    Fokas, A.2
  • 11
    • 0037171407 scopus 로고    scopus 로고
    • Camassa-Holm, Korteweg-de Vries and Related Models for Water Waves
    • Johnson, RS. 2002. Camassa-Holm, Korteweg-de Vries and Related Models for Water Waves. J. Fluid. Mech., 457:63–82.
    • (2002) J. Fluid. Mech. , vol.457 , pp. 63-82
    • Johnson, R.S.1
  • 12
    • 85024074917 scopus 로고    scopus 로고
    • On Solutions of the Camassa-Holm Equation, Proc. Roy. Soc. London A (to appear)
    • Johnson RS, On Solutions of the Camassa-Holm Equation, Proc. Roy. Soc. London A (to appear)
    • Johnson, R.S.1
  • 13
    • 0036434830 scopus 로고    scopus 로고
    • The Scattering Approach for the Camassa-Holm Equation
    • Lenells, J. 2002. The Scattering Approach for the Camassa-Holm Equation. J. Nonlinear Math. Phys., 9:389–393.
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    • Lenells, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.