DOI10.4171/RMI/339zbMath1029.37049arXivnlin/0105021OpenAlexW1995037359MaRDI QIDQ1413719
Helge Holden, Friedrich Gesztesy
Publication date: 17 November 2003
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0105021
Algebro-geometric solutions of the generalized Burgers hierarchy associated with a \(3\times 3\) matrix spectral problem based on Riemann surface,
On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions,
The algebro-geometric solutions for the Fokas-Olver-Rosenau-Qiao (FORQ) hierarchy,
Multi-component generalization of the Camassa-Holm equation,
Well-posedness of higher-order Camassa-Holm equations,
Algebro-geometric solutions for the complex Sharma-Tasso-Olver hierarchy,
Algebro-geometric solutions for the two-component Camassa-Holm Dym hierarchy,
Trigonal curves and algebro-geometric solutions to soliton hierarchies I,
Variational derivation of a geophysical Camassa-Holm type shallow water equation,
Algebro-geometric solutions of the Harry Dym hierarchy,
Quasi-periodic solutions of the Kaup-Kupershmidt hierarchy,
Algebro-geometric solutions of the TD hierarchy,
Integrable peakon systems with weak kink and kink-peakon interactional solutions,
A three-component generalization of Camassa-Holm equation with \(N\)-peakon solutions,
Coupled Camassa-Holm equations, \(N\)-peakons and infinitely many conservation laws,
Hybrid solitary wave solutions of the Camassa-Holm equation,
Real-valued algebro-geometric solutions of the two-component Camassa-Holm hierarchy,
Exact solutions to the time-fractional differential equations via local fractional derivatives,
Quasi-periodic solutions of a discrete integrable equation with a finite-dimensional integrable symplectic structure,
The Cauchy problem of the Camassa-Holm equation in a weighted Sobolev space: long-time and Painlevé asymptotics,
Quasi‐periodic solutions to a hierarchy of integrable nonlinear differential–difference equations,
Non-uniform dependence for the periodic higher dimensional Camassa-Holm equations,
Quasi-periodic solutions of the Belov–Chaltikian lattice hierarchy,
An integrable system with peakon, complex peakon, weak kink, and kink-peakon interactional solutions,
Traveling surface waves of moderate amplitude in shallow water,
Computing new solutions of algebro-geometric equation using the discrete inverse Sumudu transform,
Compactly Supported Solutions of the Camassa-Holm Equation,
Finite genus solutions to the coupled Burgers hierarchy,
The Sturm-Liouville Hierarchy of Evolution Equations II,
A note on the quasi-periodic solutions of the modified Boussinesq hierarchy,
Algebro-geometric solutions for the Gerdjikov-Ivanov hierarchy,
Algebro-geometric solutions of the coupled Chaffee-Infante reaction diffusion hierarchy,
Application of the trigonal curve to the Blaszak-Marciniak lattice hierarchy,
Traveling Wave Solutions of the Camassa-Holm and Korteweg-de Vries Equations,
A note on the convergence of the solution of the high order Camassa-Holm equation to the entropy ones of a scalar conservation law,
A Super Camassa–Holm Equation with N‐Peakon Solutions,
On reciprocal transformation of a 3-component Camassa-Holm type system,
Decomposition method for the Camassa-Holm equation,
Explicit quasi-periodic solutions of the Vakhnenko equation,
On Algebro-Geometric Solutions of the Camassa-Holm Hierarchy,
Reciprocal Transformations of Two Camassa–Holm Type Equations,
A Variational Approach to the Stability of Periodic Peakons,
Algebro-geometric solutions for the derivative Burgers hierarchy,
Factorization problem on the Hilbert‐Schmidt group and the Camassa‐Holm equation,
On quasiperiodic solutions of the modified Kadomtsev-Petviashvili hierarchy,
Algebro-geometric constructions of the modified Boussinesq flows and quasi-periodic solutions,
Analytical Cartesian solutions of the multi-component Camassa-Holm equations,
On the Camassa-Holm and K-dV hierarchies,
A Synthetical Two-Component Model with Peakon Solutions,
Algebro-geometric solutions for the Hunter-Saxton hierarchy,
The Sturm-Liouville Hierarchy of Evolution Equations,
Bi-Hamiltonian Structure of a Three-Component Camassa-Holm Type Equation,
Algebro-geometric solutions for the two-component Hunter-Saxton hierarchy,
A three-component Camassa-Holm system with cubic nonlinearity and peakons,
Reciprocal link for a three-component Camassa-Holm type equation,
On Peakon and Kink-peakon Solutions to a (2 + 1) Dimensional Generalized Camassa-Holm Equation,
Quasi-Periodic Solutions of Nonlinear Evolution Equations Associated with a 3 × 3 Matrix Spectral Problem,
A view of the peakon world through the lens of approximation theory,
Conservative solutions for higher-order Camassa–Holm equations,
Finite-gap solutions of 2+1 dimensional integrable nonlinear evolution equations generated by the Neumann systems,
Traveling wave solutions of the Camassa-Holm equation,
Algebro-geometric solutions to the modified Sawada-Kotera hierarchy,
A note on the solution map for the periodic Camassa–Holm equation,
The dependences on initial data for the b-family equation in critical Besov space,
Some remarks concerning the scattering theory for the Sturm-Liouville operator