Soliton resolution for the Ostrovsky-Vakhnenko equation

Scattering theory for PDEs (35P25) Soliton equations (35Q51) Initial value problems for nonlinear higher-order PDEs (35G25) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)

Cites Work

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Global existence of small-norm solutions in the reduced Ostrovsky equation
Hamiltonian structures for the Ostrovsky-Vakhnenko equation
Well-posedness and small data scattering for the generalized Ostrovsky equation
The Degasperis-Procesi equation on the half-line
Continuity properties of the solution map for the generalized reduced Ostrovsky equation
Reducible KAM tori for the Degasperis-Procesi equation
Local and global well-posedness for the Ostrovsky equation
The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
The initial-boundary value problem for the Ostrovsky-Vakhnenko equation on the half-line
Long time asymptotic behavior of the focusing nonlinear Schrödinger equation
Traveling wave solutions of the Degasperis-Procesi equation
Soliton resolution for the derivative nonlinear Schrödinger equation
Soliton resolution for the focusing modified KdV equation
Discontinuous Galerkin methods for the Ostrovsky-Vakhnenko equation
Initial-value problem for coupled Boussinesq equations and a hierarchy of Ostrovsky equations
A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
Soliton resolution along a sequence of times for the focusing energy critical wave equation
Long-time asymptotics for the Degasperis-Procesi equation on the half-line
Global existence and blow-up phenomena for the Degasperis-Procesi equation
Algebro-geometric solutions for the Degasperis-Procesi hierarchy
Dressing Method for the Degasperis-Procesi Equation
Inverse scattering transform for the Degasperis–Procesi equation
The N -soliton solution of the Degasperis–Procesi equation
The Formula steepest descent method and the asymptotic behavior of polynomials orthogonal on the unit circle with fixed and exponentially varying nonanalytic weights
The stability of solutions of Vakhnenko's equation
Camassa–Holm, Korteweg–de Vries and related models for water waves
Prolongation algebras and Hamiltonian operators for peakon equations
The Ostrovsky–Vakhnenko equation by a Riemann–Hilbert approach
Water waves and integrability
A Riemann–Hilbert approach for the Degasperis–Procesi equation
An integrable evolution equation for surface waves in deep water
Soliton resolution and large time behavior of solutions to the Cauchy problem for the Novikov equation with a nonzero background

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