Multi-peakon solutions of the Degasperis-Procesi equation

Inverse Problems

Volumn 19, Issue 6, 2003, Pages 1241-1245

  Lundmark, Hans ^a   Szmigielski, Jacek ^b  

^a LINKÖPING UNIVERSITY   (Sweden)

^b UNIVERSITY OF SASKATCHEWAN   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; INTEGRATION; LINEAR SYSTEMS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; POLYNOMIALS; SCATTERING; SOLITONS;

CONTINUED FRACTION; DEGASPERIS-PROCESI EQUATION; INVERSE SCATTERING; MULTI PEAKON SOLUTIONS; SHALLOW WATER EQUATION;

INVERSE PROBLEMS;

EID: 0347577829     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/19/6/001     Document Type: Article

References (7)

1. Camassa R and Holm D 1993 An integrable shallow water equation with peaked solitons Phys. Rev. Lett. 71 1661-4
2. Degasperis A and Procesi M 1999 Asymptotic integrability Symmetry and Perturbation Theory (Rome, 1998) ed A Degasperis and G Gaeta (River Edge, NJ: World Scientific) pp. 22-37
3. Degasperis A, Holm D D and Hone A N W 2002 A new integrable equation with peakon solutions Theor. Math. Phys. 133 1461-1472 (Preprint nlin.SI/0205023)
4. Degasperis A, Holm D D and Hone A N W 2003 Integrable and non-integrable equations with peakons. Nonlinear Physics: Theory and Experiment (Gallipoli, 2002) vol. II, ed M J Ablowitz, M Boiti, F Pempinelli and B Prinari (Singapore: World Scientific) pp 37-43 (Preprint nlin.SI/0209008)
5. Beals R, Sattinger D H and Szmigielski J 1999 Multi-peakons and a theorem of Stieltjes Inverse Problem 15 L1-4
6. Beals R, Sattinger D H and Szmigielski J 2000 Multipeakons and the classical moment problem Adv. Math. 154 229-57
7. Moser J 1975 Finitely many mass points on the line under the influence of an exponential potential Dynamical Systems, Theory and Applications (Springer Lecture Notes in Physics vol 38) ed J Moser (Berlin: Springer)