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Volumn 8, Issue 4, 2001, Pages 471-474

Least action principle for an integrable shallow water equation

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EID: 0035622111     PISSN: 14029251     EISSN: 17760852     Source Type: Journal    
DOI: 10.2991/jnmp.2001.8.4.3     Document Type: Article
Times cited : (7)

References (11)
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    • Arnold, V.1
  • 3
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    • An integrable shallow water equation with peaked solitons
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    • Camassa, R.1    Holm, D.2
  • 4
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    • On the blow-up rate and the blow-up set of breaking waves for a shallow water equation
    • Constantin, A, and Escher, J. 2000. On the blow-up rate and the blow-up set of breaking waves for a shallow water equation. Math. Z., 233:75–91.
    • (2000) Math. Z. , vol.233 , pp. 75-91
    • Constantin, A.1    Escher, J.2
  • 5
    • 0033415933 scopus 로고    scopus 로고
    • A shallow water equation on the circle
    • Constantin, A, and McKean, H. 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.2
  • 6
    • 85037267066 scopus 로고    scopus 로고
    • On the geometric approach to the motion of inertial mechanical systems
    • Constantin, A, and Kolev, B. 2001. On the geometric approach to the motion of inertial mechanical systems. Preprint (Lund University), 6:39
    • (2001) Preprint (Lund University) , vol.6 , pp. 39
    • Constantin, A.1    Kolev, B.2
  • 7
    • 0001052255 scopus 로고
    • Groups of diffeomorphisms and the motion of an incompressible fluid
    • Ebin, D, and Marsden, J. 1970. Groups of diffeomorphisms and the motion of an incompressible fluid. Ann. Math., 92:102–163.
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    • Ebin, D.1    Marsden, J.2
  • 8
    • 49049150360 scopus 로고
    • Symplectic structures, their Bäcklund transformation and hereditary symmetries
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    • (1981) Physica D , vol.4 , pp. 47-66
    • Fokas, A.1    Fuchssteiner, B.2
  • 9
    • 0002405102 scopus 로고    scopus 로고
    • The Cauchy problem for an integrable shallow water equation
    • Himonas, A, and Misiolek, G. 2001. The Cauchy problem for an integrable shallow water equation. Diff. Int. Eq., 14:821–831.
    • (2001) Diff. Int. Eq. , vol.14 , pp. 821-831
    • Himonas, A.1    Misiolek, G.2
  • 10
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    • The Euler-Poincaré equation and semidirect products with applications to continuum theories
    • Holm, D, Marsden, J, and Ratiu, T. 1998. The Euler-Poincaré equation and semidirect products with applications to continuum theories. Adv. Math., 137:1–81.
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    • Holm, D.1    Marsden, J.2    Ratiu, T.3
  • 11
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    • A shallow water equation as a geodesic flow on the Bott-Virasoro algebra
    • Misiolek, G. 1998. A shallow water equation as a geodesic flow on the Bott-Virasoro algebra. J. Geom. Phys., 24:203–208.
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    • Misiolek, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.