Hone, A.N.W. and Lundmark, H. and Szmigielski, J. (2009) Explicit multipeakon solutions of Novikov's cubically nonlinear integrable CamassaHolm type equation. Dynamics of Partial Differential Equations, 6 (3). pp. 253289. ISSN 1548159X. (Full text available)
Download (466kB)



Official URL http://www.intlpress.com/DPDE/journal/DPDEv06.php 
Abstract
Recently Vladimir Novikov found a new integrable analogue of the CamassaHolm equation, admitting peaked soliton (peakon) solutions, which has nonlinear terms that are cubic, rather than quadratic. In this paper, the explicit formulas for multipeakon solutions of Novikov's cubically nonlinear equation are calculated, using the matrix Lax pair found by Hone and Wang. By a transformation of Liouville type, the associated spectral problem is related to a cubic string equation, which is dual to the cubic string that was previously found in the work of Lundmark and Szmigielski on the multipeakons of the DegasperisProcesi equation
Item Type:  Article 

Subjects:  Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations Q Science > QA Mathematics (inc Computing science) > QA372 Ordinary differential equations Q Science > QA Mathematics (inc Computing science) > QA801 Analytic mechanics Q Science > QA Mathematics (inc Computing science) > QA165 Combinatorics 
Divisions:  Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science 
Depositing User:  Andrew N W Hone 
Date Deposited:  29 Jun 2011 13:54 
Last Modified:  16 Dec 2011 11:22 
Resource URI:  http://kar.kent.ac.uk/id/eprint/24242 (The current URI for this page, for reference purposes) 
 Export to:
 RefWorks
 EPrints3 XML
 CSV
 Depositors only (login required):