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Volumn 12, Issue SUPPL. 1, 2005, Pages 380-394

A class of equations with peakon and pulson solutions (with an appendix by Harry Braden and John Byatt-Smith)

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EID: 20444476025     PISSN: 14029251     EISSN: 14029251     Source Type: Journal    
DOI: 10.2991/jnmp.2005.12.s1.31     Document Type: Article
Times cited : (61)

References (38)
  • 2
    • 0034714658 scopus 로고    scopus 로고
    • Multipeakons and the classical moment problem
    • R. Beals, D. Sattinger, J. Szmigielski, Multipeakons and the classical moment problem, Adv. Math. 154 (2000) 229-257.
    • (2000) Adv. Math. , vol.154 , pp. 229-257
    • Beals, R.1    Sattinger, D.2    Szmigielski, J.3
  • 5
    • 0008920314 scopus 로고    scopus 로고
    • On a functional differential equation of determinantal type
    • H.W. Braden and J.G.B. Byatt-Smith, On a Functional Differential Equation of Determinantal Type, Bull. Lond. Math. Soc. 31 (1999) 463-470.
    • (1999) Bull. Lond. Math. Soc. , vol.31 , pp. 463-470
    • Braden, H.W.1    Byatt-Smith, J.G.B.2
  • 6
    • 12044254491 scopus 로고
    • An integrable shallow water equation with peaked solitons
    • R. Camassa and D.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.D.2
  • 8
    • 0003324526 scopus 로고    scopus 로고
    • Classical many-body problems amenable to exact treatments
    • Springer-Verlag
    • F. Calogero, Classical many-body problems amenable to exact treatments, Lecture Notes in Physics Monograph 66, Springer-Verlag (2001).
    • (2001) Lecture Notes in Physics Monograph , vol.66
    • Calogero, F.1
  • 9
    • 0030546217 scopus 로고    scopus 로고
    • A completely integrable Hamiltonian system
    • F. Calogero and J.-P. Francoise, 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
  • 10
  • 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
  • 14
    • 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, Physica D 157 (2001) 75-89.
    • (2001) Physica D , vol.157 , pp. 75-89
    • Constantin, A.1    Molinet, L.2
  • 15
    • 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
  • 16
    • 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
  • 17
    • 0002053850 scopus 로고    scopus 로고
    • Asymptotic integrability
    • (eds. A. Degasperis and G. Gaeta), World Scientific
    • A. Degasperis and M. Procesi, Asymptotic integrability, in Symmetry and Perturbation Theory (eds. A. Degasperis and G. Gaeta), World Scientific (1999) 23-37.
    • (1999) Symmetry and Perturbation Theory , pp. 23-37
    • Degasperis, A.1    Procesi, M.2
  • 18
    • 0036441096 scopus 로고    scopus 로고
    • A new integrable equation with peakon solutions
    • A. Degasperis, A.N.W. Hone and D.D. Holm, A New Integrable Equation with Peakon Solutions, Theoret. Math. Phys. 133 (2002) 1461-1472.
    • (2002) Theoret. Math. Phys. , vol.133 , pp. 1461-1472
    • Degasperis, A.1    Hone, A.N.W.2    Holm, D.D.3
  • 19
    • 29144536105 scopus 로고    scopus 로고
    • Integrable and non-integrable equations with peakons
    • eds. M.J. Ablowitz, M. Boiti, F. Pempinelli & B. Prinari, World Scientific; nlin.SI/0209008
    • A. Degasperis, A.N.W. Hone and D.D. Holm, Integrable and non-integrable equations with peakons, in Nonlinear Physics: Theory and Experiment II, eds. M.J. Ablowitz, M. Boiti, F. Pempinelli & B. Prinari, World Scientific (2003) 37-43; nlin.SI/0209008
    • (2003) Nonlinear Physics: Theory and Experiment II , pp. 37-43
    • Degasperis, A.1    Hone, A.N.W.2    Holm, D.D.3
  • 20
    • 0038170210 scopus 로고    scopus 로고
    • Camassa-Holm, Korteweg-de Vries-5 and other asymptotically equivalent equations for shallow water
    • H.R. Dullin, G.A. Gottwald and D.D. Holm, Camassa-Holm, Korteweg-de Vries-5 and other asymptotically equivalent equations for shallow water, Fluid Dynamics Research 33 (2003) 73-95.
    • (2003) Fluid Dynamics Research , vol.33 , pp. 73-95
    • Dullin, H.R.1    Gottwald, G.A.2    Holm, D.D.3
  • 21
    • 1142304402 scopus 로고    scopus 로고
    • On asymptotically equivalent shallow water wave equations
    • H.R. Dullin, G. A. Gottwald and D.D. Holm, On asymptotically equivalent shallow water wave equations, Physica D 190 (2004) 1-14.
    • (2004) Physica D , vol.190 , pp. 1-14
    • Dullin, H.R.1    Gottwald, G.A.2    Holm, D.D.3
  • 22
    • 0035311815 scopus 로고    scopus 로고
    • Integrable vs. nonintegrable geodesic soliton behaviour
    • O. Fringer and D.D. Holm, Integrable vs. nonintegrable geodesic soliton behaviour, Physica D 150 (2001) 237-263.
    • (2001) Physica D , vol.150 , pp. 237-263
    • Fringer, O.1    Holm, D.D.2
  • 23
    • 49049150360 scopus 로고
    • Symplectic structures, their Bäcklund transformations, and hereditary symmetries
    • B. Fuchssteiner and A.S. Fokas, Symplectic structures, their Bäcklund transformations, and hereditary symmetries, Physica D 4 (1981) 47.
    • (1981) Physica D , vol.4 , pp. 47
    • Fuchssteiner, B.1    Fokas, A.S.2
  • 24
    • 4043101891 scopus 로고    scopus 로고
    • Wave structures and nonlinear balances in a family of 1+1 evolutionary PDEs
    • D.D. Holm and M.F. Staley, Wave Structures and Nonlinear Balances in a Family of 1+1 Evolutionary PDEs, SIAM J. Appl. Dyn. Syst. 2 (2003) 323-380.
    • (2003) SIAM J. Appl. Dyn. Syst. , vol.2 , pp. 323-380
    • Holm, D.D.1    Staley, M.F.2
  • 25
    • 0347753291 scopus 로고    scopus 로고
    • Nonintegrability of a fifth order equation with integrable twobody dynamics
    • D.D. Holm and A.N.W. Hone, Nonintegrability of a fifth order equation with integrable twobody dynamics, Theoret. Math. Phys. 137 (2003) 1459-1471.
    • (2003) Theoret. Math. Phys. , vol.137 , pp. 1459-1471
    • Holm, D.D.1    Hone, A.N.W.2
  • 27
    • 0033538373 scopus 로고    scopus 로고
    • The associated Camassa-Holm equation and the KdV equation
    • A.N.W. Hone, The associated Camassa-Holm equation and the KdV equation, J. Phys. A 32 (1999) L307-L314.
    • (1999) J. Phys. A , vol.32
    • Hone, A.N.W.1
  • 28
    • 0039840642 scopus 로고    scopus 로고
    • Reciprocal link for 2+1-dimensional extensions of shallow water equations
    • A.N.W. Hone, Reciprocal link for 2+1-dimensional Extensions of Shallow Water Equations, Applied Mathematics Letters 13 (2000) 37-42.
    • (2000) Applied Mathematics Letters , vol.13 , pp. 37-42
    • Hone, A.N.W.1
  • 29
    • 0037275227 scopus 로고    scopus 로고
    • Prolongation algebras and Hamiltonian operators for peakon equations
    • A.N.W. Hone and Jing Ping Wang, Prolongation algebras and Hamiltonian operators for peakon equations, Inverse Problems 19 (2003) 129-145.
    • (2003) Inverse Problems , vol.19 , pp. 129-145
    • Hone, A.N.W.1    Wang, J.P.2
  • 30
    • 84858526002 scopus 로고    scopus 로고
    • Painlevé tests, singularity structure and integrability
    • ed. A.V. Mikhailov, Princeton University Press, to appear; preprint UKC/IMS/03/33
    • A.N.W. Hone, Painlevé tests, singularity structure and integrability, in What is Integrability?, ed. A.V. Mikhailov, Princeton University Press, to appear; preprint (2003) UKC/IMS/03/33.
    • (2003) What Is Integrability?
    • Hone, A.N.W.1
  • 31
    • 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
  • 32
    • 0001410135 scopus 로고    scopus 로고
    • Two-dimensional integrable generalization of the Camassa-Holm equation
    • R.A. Kraenkel and A. Zenchuk, Two-dimensional integrable generalization of the Camassa-Holm equation Phys. Lett. A 260 (1999) 218-224.
    • (1999) Phys. Lett. A , vol.260 , pp. 218-224
    • Kraenkel, R.A.1    Zenchuk, A.2
  • 33
    • 0037036176 scopus 로고    scopus 로고
    • Perturbative symmetry approach
    • A.V. Mikhailov and V.S. Novikov, Perturbative symmetry approach, J. Phys. A 35 (2002) 4775-4790.
    • (2002) J. Phys. A , vol.35 , pp. 4775-4790
    • Mikhailov, A.V.1    Novikov, V.S.2
  • 34
    • 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
  • 36
    • 0000582346 scopus 로고    scopus 로고
    • Tri-Hamiltonian duality between solitons and compactons
    • P.J. Olver and P. Rosenau, Tri-Hamiltonian Duality Between Solitons and Compactons, Phys. Rev. E 53 (1996) 1900-1906.
    • (1996) Phys. Rev. e , vol.53 , pp. 1900-1906
    • Olver, P.J.1    Rosenau, P.2
  • 37
    • 0036643094 scopus 로고    scopus 로고
    • The calculation of multi-soltion solutions of the Vakhnenko equation by the inverse scattering method
    • E.J. Parkes and V.O. Vakhnenko, The calculation of multi-soltion solutions of the Vakhnenko equation by the inverse scattering method, Chaos, Solitons and Fractals 13 (2002) 1819-1826.
    • (2002) Chaos, Solitons and Fractals , vol.13 , pp. 1819-1826
    • Parkes, E.J.1    Vakhnenko, V.O.2
  • 38
    • 36149031729 scopus 로고
    • Solitons in a nonlinear model medium
    • V.O. Vakhnenko, Solitons in a nonlinear model medium, J. Phys. A 25 (1992) 4181-4187.
    • (1992) J. Phys. A , vol.25 , pp. 4181-4187
    • Vakhnenko, V.O.1


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