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Volumn 14, Issue 1, 2001, Pages 93-98

Peakon solutions of the shallow water equation

Author keywords

Billiards; Hamiltonian systems; Peakons; Shallow water equation; Solitons

Indexed keywords


EID: 0038019338     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(00)00118-X     Document Type: Article
Times cited : (11)

References (14)
  • 1
    • 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, 1661-1664, (1993).
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 1661-1664
    • Camassa, R.1    Holm, D.2
  • 2
    • 0000495444 scopus 로고
    • An integrable hamiltonian system
    • F. Calogero, An integrable Hamiltonian system, Phys. Lett. A. 201, 306-310, (1995).
    • (1995) Phys. Lett. A. , vol.201 , pp. 306-310
    • Calogero, F.1
  • 3
    • 0030546217 scopus 로고    scopus 로고
    • Solvable quantum version of an integrable Hamiltonian system
    • F. Calogero and J. Francoise, Solvable quantum version of an integrable Hamiltonian system, J. Math. Phys. 37 (6), 2863-2871, (1996).
    • (1996) J. Math. Phys. , vol.37 , Issue.6 , pp. 2863-2871
    • Calogero, F.1    Francoise, J.2
  • 5
    • 0000310316 scopus 로고
    • The geometry of peaked solitons and billiard solutions of a class of integrable PDE's
    • M. Alber, R. Camassa, D. Holm and J. Marsden, The geometry of peaked solitons and billiard solutions of a class of integrable PDE's, Lett. Math. Phys. 32, 137-151, (1994).
    • (1994) Lett. Math. Phys. , vol.32 , pp. 137-151
    • Alber, M.1    Camassa, R.2    Holm, D.3    Marsden, J.4
  • 6
    • 0000960226 scopus 로고
    • On the link between umbilic geodesics and soliton solutions of nonlinear PDE's
    • M. Alber, R. Camassa, D. Holm and J. Marsden, On the link between umbilic geodesics and soliton solutions of nonlinear PDE's, Proc. Roy. Soc 450, 677-692, (1995).
    • (1995) Proc. Roy. Soc , vol.450 , pp. 677-692
    • Alber, M.1    Camassa, R.2    Holm, D.3    Marsden, J.4
  • 11
    • 0042877956 scopus 로고    scopus 로고
    • Classical integrable systems and billiards related to generalized Jacobians
    • Y. Fedorov, Classical integrable systems and billiards related to generalized Jacobians, Acta Appl. Math. 55 (3), 151-201, (1999).
    • (1999) Acta Appl. Math. , vol.55 , Issue.3 , pp. 151-201
    • Fedorov, Y.1
  • 12
    • 56349110516 scopus 로고
    • A new integrable shallow water equation
    • R. Camassa, D. Holm and J. Hyman, A new integrable shallow water equation, Adv. Appl. Mech. 31, 1-33, (1994).
    • (1994) Adv. Appl. Mech. , vol.31 , pp. 1-33
    • Camassa, R.1    Holm, D.2    Hyman, J.3
  • 14
    • 0032326413 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 and Continuous Dynamical Systems 4, 159-191, (1998).
    • (1998) Discrete and Continuous Dynamical Systems , vol.4 , pp. 159-191
    • Li, Y.1    Olver, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.