On the peakon inverse problem for the Degasperis-Procesi equation
DOI10.1515/jiip-2014-0059zbMath1362.37142arXiv1408.2193OpenAlexW2963185747MaRDI QIDQ522943
Publication date: 20 April 2017
Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.2193
PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)
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Cites Work
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- Formation and dynamics of shock waves in the Degasperis-Procesi equation
- The bifurcation and peakon for Degasperis-Procesi equation
- Cauchy biorthogonal polynomials
- Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa-Holm type equation
- Wave breaking for nonlinear nonlocal shallow water equations
- Multipeakons and the classical moment problem
- Periodic and solitary-wave solutions of the Degasperis-Procesi equation
- Existence of permanent and breaking waves for a shallow water equation: a geometric approach
- Universality conjecture and results for a model of several coupled positive-definite matrices
- M-shape peakons, dehisced solitons, cuspons and new 1-peak solitons for the Degasperis-Procesi equation
- Cauchy-Laguerre two-matrix model and the Meijer-\(G\) random point field
- Inverse scattering transform for the Degasperis–Procesi equation
- On an inverse problem associated with an integrable equation of Camassa–Holm type: explicit formulas on the real axis
- Cubic string boundary value problems and Cauchy biorthogonal polynomials
- Generalizations of the Camassa–Holm equation
- Multi-peakons and a theorem of Stieltjes
- A shallow water equation on the circle
- Stability of peakons
- An integrable shallow water equation with peaked solitons
- Strong asymptotics for Cauchy biorthogonal polynomials with application to the Cauchy two-matrix model
- Degasperis-Procesi peakons and the discrete cubic string
- The Cauchy two-matrix model
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