메뉴 건너뛰기




Volumn 10, Issue 3, 2000, Pages 391-399

On the blow-up of solutions of a periodic shallow water equation

Author keywords

Quasilinear hyperbolic equation; Wave breaking

Indexed keywords


EID: 0039335314     PISSN: 09388974     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003329910017     Document Type: Article
Times cited : (114)

References (20)
  • 1
    • 0000960226 scopus 로고
    • On the link between umbilic geodesics and soliton solutions of nonlinear PDE's
    • ALBER, M. S., CAMASSA, R., HOLM, D., & MARSDEN, J. E., On the link between umbilic geodesics and soliton solutions of nonlinear PDE's, Proc. Roy. Soc. London 450 (1995), 677-692.
    • (1995) Proc. Roy. Soc. London , vol.450 , pp. 677-692
    • Alber, M.S.1    Camassa, R.2    Holm, D.3    Marsden, J.E.4
  • 3
    • 0000814560 scopus 로고    scopus 로고
    • Peakons and coshoidal waves: Traveling wave solutions of the Camassa-Holm equation
    • BOYD, J. P., Peakons and coshoidal waves: Traveling wave solutions of the Camassa-Holm equation, Appl. Math. Comput. 81 (1997), 173-187.
    • (1997) Appl. Math. Comput. , vol.81 , pp. 173-187
    • Boyd, J.P.1
  • 4
    • 0030546217 scopus 로고    scopus 로고
    • A completely integrable Hamiltonian system
    • CALOGERO, F., & FRANCOISE, J. P., A completely integrable Hamiltonian system, J. Math. Phys. 37 ( 1996), 2863-2871.
    • (1996) J. Math. Phys. , vol.37 , pp. 2863-2871
    • Calogero, F.1    Francoise, J.P.2
  • 5
    • 12044254491 scopus 로고
    • An integrable shallow water equation with peaked solitons
    • CAMASSA, R., & HOLM, D., 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
  • 6
    • 56349110516 scopus 로고
    • A new integrable shallow water equation
    • CAMASSA, R., HOLM, D., & HYMAN, J., A new integrable shallow water equation, Adv. Appl. Mech. 31 (1994), 1-33.
    • (1994) Adv. Appl. Mech. , vol.31 , pp. 1-33
    • Camassa, R.1    Holm, D.2    Hyman, J.3
  • 7
    • 0000213450 scopus 로고    scopus 로고
    • On the Cauchy problem for the periodic Camassa-Holm equation
    • CONSTANTIN, A., On the Cauchy problem for the periodic Camassa-Holm equation, J. Diff. Eq. 141 (1997), 218-235.
    • (1997) J. Diff. Eq. , vol.141 , pp. 218-235
    • Constantin, A.1
  • 8
    • 0032374820 scopus 로고    scopus 로고
    • Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation
    • CONSTANTIN, A., & ESCHER, J., Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation, Commun. Pure Appl. Math. 51 (1998), 475-504.
    • (1998) Commun. Pure Appl. Math. , vol.51 , pp. 475-504
    • Constantin, A.1    Escher, J.2
  • 9
    • 0000985293 scopus 로고    scopus 로고
    • Wave breaking for nonlinear nonlocal shallow water equations
    • CONSTANTIN, A., & ESCHER, J., Wave breaking for nonlinear nonlocal shallow water equations, Acta Math. 181 (1998), 229-243.
    • (1998) Acta Math. , vol.181 , pp. 229-243
    • Constantin, A.1    Escher, J.2
  • 10
    • 0032328853 scopus 로고    scopus 로고
    • On the structure of a family of quasilinear equations arising in shallow water theory
    • CONSTANTIN, A., & ESCHER, J., On the structure of a family of quasilinear equations arising in shallow water theory, Math. Ann. 312 (1998), 403-416.
    • (1998) Math. Ann. , vol.312 , pp. 403-416
    • Constantin, A.1    Escher, J.2
  • 12
    • 0001662743 scopus 로고
    • Solitons in the Camassa-Holm shallow water equation
    • COOPER, F., & SHEPARD, H., Solitons in the Camassa-Holm shallow water equation, Phys. Lett. A 194 (1994), 246-250.
    • (1994) Phys. Lett. A , vol.194 , pp. 246-250
    • Cooper, F.1    Shepard, H.2
  • 13
    • 0031679566 scopus 로고    scopus 로고
    • Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
    • DAI, H.-H., Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod. Acta Mech. 127 (1998), 293-308.
    • (1998) Acta Mech. , vol.127 , pp. 293-308
    • Dai, H.-H.1
  • 15
    • 0001702502 scopus 로고
    • On a class pf physically important integrable equations
    • FOKAS, A. S., On a class pf physically important integrable equations, Physica D 87 (1994), 145-150.
    • (1994) Physica D , vol.87 , pp. 145-150
    • Fokas, A.S.1
  • 16
    • 49049150360 scopus 로고
    • Symplectic structures, their Bäcklund transformation and hereditary symmetries
    • FOKAS, A. S., & FUCHSSTEINER, B., 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.S.1    Fuchssteiner, B.2
  • 17
    • 22244482803 scopus 로고    scopus 로고
    • Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
    • FUCHSSTEINER, B., Some tricks from the symmetry-toolbox for nonlinear equations: generalizations of the Camassa-Holm equation, Physica D 95 (1996), 229-243.
    • (1996) Physica D , vol.95 , pp. 229-243
    • Fuchssteiner, B.1
  • 18
    • 0031535504 scopus 로고    scopus 로고
    • Convergence of solitary wave solutions in a perturbed bi-Hamiltonian dynamical system. I. Compactons and peakons
    • LI, Y. A., & OLVER, P., Convergence of solitary wave solutions in a perturbed bi-Hamiltonian dynamical system. I. Compactons and peakons Discrete Contin. Dyn. Syst. 3 (1997), 419-432.
    • (1997) Discrete Contin. Dyn. Syst. , vol.3 , pp. 419-432
    • Li, Y.A.1    Olver, P.2
  • 19
    • 0030544208 scopus 로고    scopus 로고
    • Zero curvature formulations of dual hierarchies
    • SCHIFF, J., 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.