Integrable peakon equations with cubic nonlinearity

Andrew N. W. Hone, Jing Ping Wang

Type: Article

Publication Date: 2008-08-11

Citations: 364

DOI: https://doi.org/10.1088/1751-8113/41/37/372002

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Locations

arXiv (Cornell University) - View - PDF
Journal of Physics A Mathematical and Theoretical - View

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Works Cited by This (24)

Action	Title	Year	Authors
+	Symplectic structures, their Bäcklund transformations and hereditary symmetries	1981	Benno Fuchssteiner A. S. Fokas
+	Momentum maps and measure-valued solutions (peakons, filaments, and sheets) for the EPDiff equation	2007	Darryl D. Holm Jerrold E. Marsden
+	Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system I. Compactions and peakons	1997	Y. A. Li Peter J. Olver
+	Nonisospectral scattering problems: A key to integrable hierarchies	1999	Pilar R. Gordoa Andrew Pickering
+	Reciprocal link for 2 + 1-dimensional extensions of shallow water equations	2000	Andrew N. W. Hone
+ PDF Chat	A new integrable equation with cuspons and W/M-shape-peaks solitons	2006	Zhijun Qiao
+	Nonlinear Dispersion and Compact Structures	1994	Philip Rosenau
+ PDF Chat	New integrable hierarchy, its parametric solutions, cuspons, one-peak solitons, and M/W-shape peak solitons	2007	Zhijun Qiao
+ PDF Chat	An integrable shallow water equation with peaked solitons	1993	Roberto Camassa Darryl D. Holm
+ PDF Chat	The geometry of peaked solitons and billiard solutions of a class of integrable PDE's	1994	Mark Alber Roberto Camassa Darryl D. Holm Jerrold E. Marsden