메뉴 건너뛰기




Volumn 13, Issue 3-4, 2006, Pages 465-472

The interaction of peakons and antipeakons

Author keywords

Hamiltonian system; Shallow water equation; Solitons; Wave breaking; Weak solutions

Indexed keywords


EID: 33750423519     PISSN: 12013390     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (20)

References (24)
  • 2
    • 12044254491 scopus 로고
    • An integrable shallow water equation with peaked solitons
    • R. Camassa and D. Holm, An integrable shallow water equation with peaked solitons, Phys. Rev. Lett. 71 (1993), 1661-1664.
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 1661-1664
    • Camassa, R.1    Holm, D.2
  • 3
    • 0034415062 scopus 로고    scopus 로고
    • Existence of permanent and breaking waves for a shallow water equation: A geometric approach
    • A. Constantin, Existence of permanent and breaking waves for a shallow water equation: a geometric approach, Ann. Inst. Fourier (Grenoble) 50 (2000), 321-362.
    • (2000) Ann. Inst. Fourier (Grenoble) , vol.50 , pp. 321-362
    • Constantin, A.1
  • 5
    • 85129402022 scopus 로고    scopus 로고
    • Global existence and blow-up for a shallow water equation
    • A. Constantin and J. Escher, Global existence and blow-up for a shallow water equation, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 26 (1998), 303-328.
    • (1998) Ann. Scuola Norm. Sup. Pisa Cl. Sci. , vol.26 , pp. 303-328
    • Constantin, A.1    Escher, J.2
  • 6
    • 0000985293 scopus 로고    scopus 로고
    • Wave breaking for nonlinear nonlocal shallow water equations
    • A. Constantin and J. Escher, Wave breaking for nonlinear nonlocal shallow water equations, Acta. Mathematica 181 (1998), 229-243.
    • (1998) Acta. Mathematica , vol.181 , pp. 229-243
    • Constantin, A.1    Escher, J.2
  • 7
    • 0000468550 scopus 로고    scopus 로고
    • Global weak solutions for a shallow water equation
    • A. Constantin and J. Escher, Global weak solutions for a shallow water equation, Indiana Univ. Math. 747 (1998), 1527-1545.
    • (1998) Indiana Univ. Math. , vol.747 , pp. 1527-1545
    • Constantin, A.1    Escher, J.2
  • 8
    • 0042279206 scopus 로고    scopus 로고
    • On the geometric approach to the motion of inertial mechanical systems
    • A. Constantin and B. Kolev, On the geometric approach to the motion of inertial mechanical systems, J. Phys. A 35 (2002), R51-R79.
    • (2002) J. Phys. A , vol.35
    • Constantin, A.1    Kolev, B.2
  • 9
    • 0242350978 scopus 로고    scopus 로고
    • Geodesic flow on the diffeomorphism group of the circle
    • A. Constantin and B. Kolev, Geodesic flow on the diffeomorphism group of the circle, Comment. Math. Helv. 78 (2003), 787-804.
    • (2003) Comment. Math. Helv. , vol.78 , pp. 787-804
    • Constantin, A.1    Kolev, B.2
  • 10
    • 0033415933 scopus 로고    scopus 로고
    • A shallow water equation on the circle
    • A. Constantin and H. P. McKean, A shallow water equation on the circle, Comm. Pure Appl. Math. 52 (1999), 949-982.
    • (1999) Comm. Pure Appl. Math. , vol.52 , pp. 949-982
    • Constantin, A.1    McKean, H.P.2
  • 11
    • 0034349440 scopus 로고    scopus 로고
    • Global weak solutions for a shallow water equation
    • A. Constantin and L. Molinet, Global weak solutions for a shallow water equation, Comm. Math. Phys. 211 (2000), 45-61.
    • (2000) Comm. Math. Phys. , vol.211 , pp. 45-61
    • Constantin, A.1    Molinet, L.2
  • 12
    • 0035452006 scopus 로고    scopus 로고
    • Orbital stability of solitary waves for a shallow water equation
    • A. Constantin and L. Molinet, Orbital stability of solitary waves for a shallow water equation, Phys. D 157 (2001), 75-89.
    • (2001) Phys. D , vol.157 , pp. 75-89
    • Constantin, A.1    Molinet, L.2
  • 14
    • 0000830886 scopus 로고    scopus 로고
    • A few remarks on the Camassa-Holm equation
    • R. Danchin, A few remarks on the Camassa-Holm equation, Diff. Int. Eq. 14 (2001), 953-980.
    • (2001) Diff. Int. Eq. , vol.14 , pp. 953-980
    • Danchin, R.1
  • 15
    • 0043159153 scopus 로고    scopus 로고
    • A note on well-posedness for Camassa-Holm equation
    • R. Danchin, A note on well-posedness for Camassa-Holm equation, J. Differential Equations 192 (2003), 429-444.
    • (2003) J. Differential Equations , vol.192 , pp. 429-444
    • Danchin, R.1
  • 16
    • 49049150360 scopus 로고
    • Symplectic structures, their Bäcklund transformation and hereditary symmetries
    • A. Fokas and B. Fuchssteiner, Symplectic structures, their Bäcklund transformation and hereditary symmetries, Physica D 4 (1981/1982), 47-66.
    • (1981) Physica D , vol.4 , pp. 47-66
    • Fokas, A.1    Fuchssteiner, B.2
  • 17
    • 0037171407 scopus 로고    scopus 로고
    • Camassa-Holm, Korteweg-de Vries and related models for water waves
    • R. S. Johnson, Camassa-Holm, Korteweg-de Vries and related models for water waves, J. Fluid. Mech. 455 (2002), 63-82.
    • (2002) J. Fluid. Mech. , vol.455 , pp. 63-82
    • Johnson, R.S.1
  • 18
    • 0034688728 scopus 로고    scopus 로고
    • Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
    • Y. A. Li and P. J. Olver, Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation, J. Differential Equations 162 (2000), 27-63.
    • (2000) J. Differential Equations , vol.162 , pp. 27-63
    • Li, Y.A.1    Olver, P.J.2
  • 19
    • 0001472433 scopus 로고    scopus 로고
    • Breakdown of a shallow water equation
    • H. P. McKean, Breakdown of a shallow water equation, Asian J. Math. 2 (1998), 867-874.
    • (1998) Asian J. Math. , vol.2 , pp. 867-874
    • McKean, H.P.1
  • 20
    • 0031989845 scopus 로고    scopus 로고
    • A shallow water equation as a geodesic flow on the Bott-Virasoro group
    • G. Misiolek, A shallow water equation as a geodesic flow on the Bott-Virasoro group, J. Geom. Phys. 24 (1998), 203-208.
    • (1998) J. Geom. Phys. , vol.24 , pp. 203-208
    • Misiolek, G.1
  • 21
    • 10044263161 scopus 로고    scopus 로고
    • On well-posedness results for Camassa-Holm equation on the line: A survey
    • L. Molinet, On well-posedness results for Camassa-Holm equation on the line: A survey, J. Nonlinear Math. Phys. 4 (2004), 521-533.
    • (2004) J. Nonlinear Math. Phys. , vol.4 , pp. 521-533
    • Molinet, L.1
  • 23
    • 0034394008 scopus 로고    scopus 로고
    • On the weak solutions to a shallow water equation
    • Z. Xin and P. Zhang, On the weak solutions to a shallow water equation, Comm. Pure. Appl. Math. 53 (2000), 1411-1433.
    • (2000) Comm. Pure. Appl. Math. , vol.53 , pp. 1411-1433
    • Xin, Z.1    Zhang, P.2
  • 24
    • 0036913863 scopus 로고    scopus 로고
    • On the uniqueness and large time behavior of the weak solutions to a shallow water equation
    • Z. Xin and P. Zhang, On the uniqueness and large time behavior of the weak solutions to a shallow water equation, Comm. Partial. Diff. Eq. 27 (2002), 1815-1844.
    • (2002) Comm. Partial. Diff. Eq. , vol.27 , pp. 1815-1844
    • Xin, Z.1    Zhang, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.