Cubic string boundary value problems and Cauchy biorthogonal polynomials

Journal of Physics A: Mathematical and Theoretical

Volumn 42, Issue 45, 2009, Pages

  Bertola, M ^a,b   Gekhtman, M ^c   Szmigielski, J ^d  

^a UNIVERSITÉ DE MONTRÉAL   (Canada)

^b Dept of Electrical and Computer Engineering   (Canada)

^c 255 Hurley Hall ^*  (United States)

^d UNIVERSITY OF SASKATCHEWAN   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 72449170208     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/42/45/454006     Document Type: Article

References (8)

1. Krein M G 1952 On inverse problems for a nonhomogeneous cord Dokl. Akad. Nauk SSSR 82 669-72
2. Krein M G 1952 On a generalization of investigations of Stieltjes Dokl. Akad. Nauk SSSR 87 881-4
3. 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 23-37
4. Degasperis A, Holm D D and Hone A N W 2002 A new integrable equation with Peakon solutions Theor. Math. Phys. 133 1461-72 (arXiv: nlin.SI/0205023)
5. Lundmark H and Szmigielski J 2005 Degasperis-Procesi peakons and the discrete cubic string IMRP Int. Math. Res. Pap. 2005 53-116
6. Bertola M, Gekhtman M and Szmigielski J 2008 Peakons and Cauchy biorthogonal polynomials arXiv:0711.4082v1[nlin.SI]
7. Bertola M, Gekhtman M and Szmigielski J 2009 The Cauchy two-matrix model Commun. Math. Phys. 287 983-1014
8. Kac I S and Krein M G 1974 On the spectral functions of the string Am. Math. Soc. Transl. 103 19-102