메뉴 건너뛰기




Volumn 11, Issue 4, 2004, Pages 422-434

On the spectral problem associated with the camassa-holm equation

Author keywords

[No Author keywords available]

Indexed keywords


EID: 10044255253     PISSN: 14029251     EISSN: 17760852     Source Type: Journal    
DOI: 10.2991/jnmp.2004.11.4.1     Document Type: Article
Times cited : (20)

References (15)
  • 1
    • 85024571551 scopus 로고    scopus 로고
    • The Titchmarsh-Weyl eigenfunction expansion theorem for Sturm-Liouville differential equations, In preparation 2004
    • Bennewitz C, Everitt W N, The Titchmarsh-Weyl eigenfunction expansion theorem for Sturm-Liouville differential equations, In preparation 2004.
    • Bennewitz, C.1    Everitt, W.N.2
  • 2
    • 85024538569 scopus 로고    scopus 로고
    • Direct and inverse spectral theory for left definite Sturm-Liouville equations, In preparation 2004
    • Bennewitz C, Direct and inverse spectral theory for left definite Sturm-Liouville equations, In preparation 2004.
    • Bennewitz, C.1
  • 3
    • 0000672810 scopus 로고
    • Spectral asymptotics for Sturm-Liouville equations
    • Bennewitz, C. 1989. Spectral asymptotics for Sturm-Liouville equations. Proc. London Math. Soc., 59:294–338.
    • (1989) Proc. London Math. Soc. , vol.59 , pp. 294-338
    • Bennewitz, C.1
  • 4
    • 10044244082 scopus 로고    scopus 로고
    • Paley-Wiener theorem with applications to inverse spectral theory
    • (Birmingham, AL, 2002), Contemp. Math
    • Bennewitz, C. 2003. Paley-Wiener theorem with applications to inverse spectral theory. Advances in Differential Equations and Mathematical Physics, 327:21–31. (Birmingham, AL, 2002), Contemp. Math.
    • (2003) Advances in Differential Equations and Mathematical Physics , vol.327 , pp. 21-31
    • Bennewitz, C.1
  • 5
    • 12044254491 scopus 로고
    • An integrable shallow water equation with peaked solitons
    • Camassa, R, and Holm, D 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.D.2
  • 6
    • 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
  • 7
    • 0042279206 scopus 로고    scopus 로고
    • On the geometric approach to the motion of inertial mechanical systems
    • Constantin, A, and Kolev, B. 2002. On the geometric approach to the motion of inertial mechanical systems. J. Phys. A, 35:R51–R79.
    • (2002) J. Phys. A , vol.35 , pp. R51-R79
    • Constantin, A.1    Kolev, B.2
  • 8
    • 0242350978 scopus 로고    scopus 로고
    • Geodesic flow on the diffeomorphism group of the circle
    • Constantin, A, and Kolev, B. 2003. Geodesic flow on the diffeomorphism group of the circle. Comment. Math. Helv., 78:787–804.
    • (2003) Comment. Math. Helv. , vol.78 , pp. 787-804
    • Constantin, A.1    Kolev, B.2
  • 9
    • 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
  • 11
    • 0031679566 scopus 로고    scopus 로고
    • Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod, Acta Mech. 127 1998, 193–207
    • Dai H H, Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod, Acta Mech. 127 1998, 193–207
    • Dai, H.H.1
  • 12
    • 49049150360 scopus 로고
    • Symplectic structures, their Bäcklund transformation and hereditary symmetries
    • Fokas, A S, 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.S.1    Fuchssteiner, B.2
  • 13
    • 0037171407 scopus 로고    scopus 로고
    • Korteweg-de Vries and related models for water waves
    • Johnson, R S, and Camassa-Holm. 2002. 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.S.1    Camassa-Holm2
  • 14
    • 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.
    • (2002) J. Nonlinear Math. Phys. , vol.9 , pp. 389-393
    • Lenells, J.1
  • 15
    • 0031989845 scopus 로고    scopus 로고
    • A shallow water equation as a geodesic flow on the Bott-Virasoro group
    • Misiolek, G. 1998. A shallow water equation as a geodesic flow on the Bott-Virasoro group. J. Geom. Phys., 24:203–208.
    • (1998) J. Geom. Phys. , vol.24 , pp. 203-208
    • Misiolek, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.