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Volumn 23, Issue 7-8, 1998, Pages 1449-1458

On the Cauchy problem for a family of quasilinear hyperbolic equations

Author keywords

Blow up; Global existence; Well posedness

Indexed keywords


EID: 0002231208     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1080/03605309808821389     Document Type: Article
Times cited : (32)

References (15)
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    • Alber, M.1    Camassa, R.2    Holm, D.3    Marsden, J.E.4
  • 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. Letters, 71(1993), 1661-1664.
    • (1993) Phys. Rev. Letters , vol.71 , pp. 1661-1664
    • Camassa, R.1    Holm, D.2
  • 5
    • 0032374820 scopus 로고    scopus 로고
    • Well-posedness, global existence, and blow-up phenomena for a periodic quasi-linear hyperbolic equation
    • A. Constantin and J. Escher, Well-posedness, global existence, and blow-up phenomena for a periodic quasi-linear hyperbolic equation, Comm. Pure Appl. Math., 51(1998), 475-504.
    • (1998) Comm. Pure Appl. Math. , vol.51 , pp. 475-504
    • Constantin, A.1    Escher, J.2
  • 6
    • 0001662743 scopus 로고
    • Solitons in the Camassa-Holm shallow water equation
    • F. Cooper and H. Shepard, Solitons in the Camassa-Holm shallow water equation, Physics Letters A, 194(1994), 246-250.
    • (1994) Physics Letters A , vol.194 , pp. 246-250
    • Cooper, F.1    Shepard, H.2
  • 8
    • 0003346795 scopus 로고
    • Measure theory and fine properties of functions
    • Boca Raton
    • L. Evans and R. Gariepy, "Measure Theory and Fine Properties of Functions", Studies in Adv. Math., Boca Raton, 1992.
    • (1992) Studies in Adv. Math.
    • Evans, L.1    Gariepy, R.2
  • 9
    • 49049150360 scopus 로고
    • Symplectic structures, their bäcklund transformations and hereditary symmetries
    • A. S. Fokas and B. Fuchssteiner, Symplectic structures, their Bäcklund transformations and hereditary symmetries, Physica, 4D(1981), 47-66.
    • (1981) Physica , vol.4 D , pp. 47-66
    • Fokas, A.S.1    Fuchssteiner, B.2
  • 10
    • 0002362136 scopus 로고
    • On the cauchy problem for the (generalized) Korteweg-de Vries equation
    • T. Kato, On the Cauchy problem for the (generalized) Korteweg-de Vries equation, Studies in Appl. Math., 8(1983), 93-126.
    • (1983) Studies in Appl. Math. , vol.8 , pp. 93-126
    • Kato, T.1
  • 11
    • 0031535504 scopus 로고    scopus 로고
    • Convergence of solitary wave solutions in a perturbed bi-Hamiltonian dynamical system
    • Y. Li and P. Olver, Convergence of solitary wave solutions in a perturbed bi-Hamiltonian dynamical system, Discrete Contin. Dynam. Systems, 3(1997), 419-432.
    • (1997) Discrete Contin. Dynam. Systems , vol.3 , pp. 419-432
    • Li, Y.1    Olver, P.2
  • 13
    • 0030544208 scopus 로고    scopus 로고
    • Zero curvature formulations of dual hierarchies
    • J. Schiff, Zero curvature formulations of dual hierarchies, J. Math. Phys., 37(1996), 1928-1938.
    • (1996) J. Math. Phys. , vol.37 , pp. 1928-1938
    • Schiff, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.