The N-soliton solution of the Degasperis–Procesi equation
暂无分享,去创建一个
[1] Hans Lundmark,et al. Multi-peakon solutions of the Degasperis–Procesi equation , 2003, nlin/0503033.
[2] Athanassios S. Fokas,et al. Symplectic structures, their B?acklund transformation and hereditary symmetries , 1981 .
[3] E. J. Parkes,et al. Periodic and solitary-wave solutions of the Degasperis-Procesi equation , 2004 .
[4] R. Hirota,et al. N-Soliton Solutions of Model Equations for Shallow Water Waves , 1976 .
[5] Darryl D. Holm,et al. A New Integrable Equation with Peakon Solutions , 2002, nlin/0205023.
[6] Ryogo Hirota,et al. Soliton Solutions to the BKP Equations. I. the Pfaffian technique , 1989 .
[7] R. Johnson,et al. On solutions of the Camassa-Holm equation , 2003, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[8] Ignace Loris,et al. On reduced CKP equations , 1999 .
[9] Allen Parker,et al. On the Camassa–Holm equation and a direct method of solution. III. N-soliton solutions , 2005, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[10] A. Parker,et al. On soliton solutions of the Kaup-Kupershmidt equation. I. Direct bilinearisation and solitary wave , 2000 .
[11] Ryogo Hirota,et al. A Variety of Nonlinear Network Equations Generated from the Bäcklund Transformation for the Toda Lattice , 1976 .
[12] David J. Kaup,et al. On the Inverse Scattering Problem for Cubic Eigenvalue Problems of the Class ψxxx + 6Qψx + 6Rψ = λψ , 1980 .
[13] Antonio Degasperis,et al. Symmetry and perturbation theory , 1999 .
[14] Jeremy Schiff,et al. The Camassa-Holm equation: a loop group approach , 1997, solv-int/9709010.
[15] Masaki Kashiwara,et al. Transformation groups for soliton equations: IV. A new hierarchy of soliton equations of KP-type , 1982 .
[16] Masaki Kashiwara,et al. KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI– , 1981 .
[17] J. Coyle. Inverse Problems , 2004 .
[18] Yi-shen Li. Some Water Wave Equations and Integrability , 2005 .
[19] A. Parker,et al. On soliton solutions of the Kaup-Kupershmidt equation. II. “Anomalous” N -soliton solutions , 2000 .
[20] Hans Lundmark,et al. Degasperis-Procesi peakons and the discrete cubic string , 2005, nlin/0503036.
[21] Allen Parker,et al. On the Camassa-Holm equation and a direct method of solution I. Bilinear form and solitary waves , 2004, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[22] Darryl D. Holm,et al. An integrable shallow water equation with peaked solitons. , 1993, Physical review letters.
[23] Yoshimasa Matsuno,et al. Parametric Representation for the Multisoliton Solution of the Camassa–Holm Equation , 2005, nlin/0504055.
[24] M. Ablowitz,et al. The Inverse scattering transform fourier analysis for nonlinear problems , 1974 .
[25] M. Jimbo,et al. Solitons and Infinite Dimensional Lie Algebras , 1983 .
[26] Darryl D. Holm,et al. A New Integrable Shallow Water Equation , 1994 .
[27] Yoshimasa Matsuno,et al. Multisoliton solutions of the Degasperis–Procesi equation and their peakon limit , 2005 .
[28] Caroline Verhoeven,et al. Nonlinear superposition formula for the Kaup-Kupershmidt partial differential equation , 2000 .
[29] T. Miwa,et al. Vertex operators and $\tau$ functions transformation groups for soliton equations, II , 1981 .
[30] Y. Matsuno. Multiperiodic and multisoliton solutions of a nonlocal nonlinear Schrödinger equation for envelope waves , 2000 .
[31] B. Guo,et al. Periodic cusp wave solutions and single-solitons for the b-equation , 2005 .
[32] Yishen Li,et al. The multiple-soliton solution of the Camassa-Holm equation , 2004, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.