Peakons and Cauchy Biorthogonal Polynomials

Abstract

The contents of the paper is now covered in two separate papers arXiv:0904.2188 and arXiv:0904.2602. Please refer to those. Note that you can still access the original version arXiv:0711.4082v1.

REPLACED by two separate papers arXiv:0904.2188 and arXiv:0904.2602 as 0711

References in corpus (10)

• An integrable shallow water equation with peaked solitons
• Multi-peakon solutions of the Degasperis-Procesi equation
• Multipeakons and a theorem of Stieltjes
• Duality, Biorthogonal Polynomials and Multi-Matrix Models
• Differential systems for biorthogonal polynomials appearing in 2-matrix models and the associated Riemann-Hilbert problem
• The Cauchy two-matrix model
• Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions
• Partition functions for Matrix Models and Isomonodromic Tau functions
• Biorthogonal Laurent polynomials, Toeplitz determinants, minimal Toda orbits and isomonodromic tau functions
• The PDEs of biorthogonal polynomials arising in the two-matrix model

Cited by in corpus (4)

• The Cauchy two-matrix model
• The Cauchy two-matrix model, C-Toda lattice and CKP hierarchy
• Regularity of a vector potential problem and its spectral curve
• Universality in the two matrix model: a Riemann-Hilbert steepest descent analysis