The Peakon Limits of Soliton Solutions of the Camassa–Holm Equation

A. Parker, Yoshimasa Matsuno

Type: Article

Publication Date: 2006-11-27

Citations: 30

DOI: https://doi.org/10.1143/jpsj.75.124001

View Publication

Locations

Journal of the Physical Society of Japan - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Elastic collisions among peakon solutions for the Camassa–Holm equation	2014	Alina Chertock Jian‐Guo Liu Terrance Pendleton
+	Asymptotics for peakon-antipeakon collision in a general Camassa-Holm model	2023	G. Omel'yanov
+	On the Camassa–Holm equation and a direct method of solution. II. Soliton solutions	2005	A. Parker
+ PDF Chat	A general family of multi-peakon equations and their properties	2019	Stephen C. Anco Elena Recio
+	On peaked solitary waves of Camassa-Holm equation	2012	Shijun Liao
+	On the Camassa-Holm equation and a direct method of solution I. Bilinear form and solitary waves	2004	A. Parker
+ PDF Chat	Multisoliton solutions of the two-component Camassa–Holm system and their reductions	2017	Yoshimasa Matsuno
+	On solutions of the Camassa-Holm equation	2003	R. S. Johnson
+	Single peak solitary wave solutions for the generalized Camassa–Holm equation	2013	Hong Li Lilin Ma Kanmin Wang
+ PDF Chat	Asymptotic Soliton-Like and Asymptotic Peakon-Like Solutions of the Modified Camassa-Holm Equation With Variable Coefficients and Singular Perturbation	2023	Yu. I. Samoilenko Lorenzo Brandolese В. Г. Самойленко
+	Well posedness and blow-up solution for a new coupled Camassa–Holm equations with peakons	2009	Ying Fu Changzheng Qu
+ PDF Chat	Singular solutions of a modified two-component Camassa-Holm equation	2009	Darryl D. Holm Lennon Ó Náraigh Cesare Tronci
+	Global Dissipative Multipeakon Solutions of the Camassa–Holm Equation	2008	Helge Holden Xavier Raynaud
+	The Peakon Limits of Soliton Solutions of the Camassa-Holm Equation(General)	2006	A. Parker Yoshimasa Matsuno
+	Asymptotic soliton-like and asymptotic peakon-like solutions of the modified Camassa-Holm equation with variable coefficients and singular perturbation	2023	Samoilenko Yuliia Brandolese Lorenzo Samoilenko Valerii
+ PDF Chat	On a new two-component $b$-family peakon system with cubic nonlinearity	2018	Kai Yan Zhijun Qiao Yufeng Zhang
+	Soliton-cuspon interaction for the Camassa-Holm equation	1999	M. C. Ferreira Roberto André Kraenkel A. I. Zenchuk
+	A generalization for Peakon's solitary wave and Camassa-Holm equation.	1997	Costin-Radu Boldea
+	Investigating overtaking collisions of solitary waves in the Schamel equation	2023	Marcelo V. Flamarion Efim Pelinovsky Ekaterina Didenkulova
+	Wave dynamics for peaked solitons of the Camassa–Holm equation	2007	A. Parker

Works That Cite This (28)

Action	Title	Year	Authors
+	Wave dynamics for peaked solitons of the Camassa–Holm equation	2007	A. Parker
+	Bifurcations and exact bounded travelling wave solutions for a partial differential equation	2008	Bin He
+	A self-adaptive moving mesh method for the Camassa–Holm equation	2010	Bao‐Feng Feng Ken‐ichi Maruno Yasuhiro Ohta
+	A self-adaptive mesh method for the Camassa-Holm equation	2009	Bao‐Feng Feng Ken‐ichi Maruno Yasuhiro Ohta
+	Coupled Camassa–Holm equations,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si3.gif" display="inline" overflow="scroll"><mml:mi>N</mml:mi></mml:math>-peakons and infinitely many conservation laws	2013	Xianguo Geng Hui Wang
+ PDF Chat	Bäcklund Transformations for the Camassa–Holm Equation	2016	Alexander G. Rasin Jeremy Schiff
+ PDF Chat	Camassa–Holm Cuspons, Solitons and Their Interactions via the Dressing Method	2019	Rossen I. Ivanov Tony Lyons Nigel Orr
+ PDF Chat	On the development of a high-order compact scheme for exhibiting the switching and dissipative solution natures in the Camassa–Holm equation	2011	Tony W. H. Sheu Pao‐Hsiung Chiu Cihang Yu
+ PDF Chat	A Super Camassa–Holm Equation with <i>N</i>‐Peakon Solutions	2012	Xianguo Geng Bo Xue Lihua Wu
+	A three-component generalization of Camassa–Holm equation with N-peakon solutions	2010	Xianguo Geng Bo Xue

Works Cited by This (11)

Action	Title	Year	Authors
+	Symplectic structures, their Bäcklund transformations and hereditary symmetries	1981	Benno Fuchssteiner A. S. Fokas
+ PDF Chat	Parametric Representation for the Multisoliton Solution of the Camassa–Holm Equation	2005	Yoshimasa Matsuno
+	A factorization procedure for solving the Camassa–Holm equation	2006	A. Parker
+	The multiple-soliton solution of the Camassa-Holm equation	2004	Yishen Li Jin E. Zhang
+ PDF Chat	An integrable shallow water equation with peaked solitons	1993	Roberto Camassa Darryl D. Holm
+	On the Camassa-Holm equation and a direct method of solution I. Bilinear form and solitary waves	2004	A. Parker
+	Dynamical Motions of Algebraic Solitons of a Model Equation for Deep Water Waves	1988	Yoshimasa Matsuno
+	On second grade fluids with vanishing viscosity	1999	Adriana Valentina Busuioc
+	The interaction of the ω-soliton and ω-cuspon of the Camassa–Holm equation	2005	Hui–Hui Dai Yishen Li
+	On solutions of the Camassa-Holm equation	2003	R. S. Johnson