Phase shift in the Whitham zone for the Gurevich-Pitaevskii special solution of the Korteweg-de Vries equation
From MaRDI portal
Publication:2429609
DOI10.1016/j.physleta.2010.01.057zbMath1236.35146arXiv0912.4853OpenAlexW2069974366MaRDI QIDQ2429609
B. I. Suleimanov, Rustem Garifullin, Nikolai N. Tarkhanov
Publication date: 30 April 2012
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0912.4853
KdV equations (Korteweg-de Vries equations) (35Q53) Shock waves and blast waves in fluid mechanics (76L05) Asymptotic expansions of solutions to PDEs (35C20)
Related Items (12)
THE RIEMANN–HILBERT APPROACH TO OBTAIN CRITICAL ASYMPTOTICS FOR HAMILTONIAN PERTURBATIONS OF HYPERBOLIC AND ELLIPTIC SYSTEMS ⋮ Meromorphy of solutions for a wide class of ordinary differential equations of Painlevé type ⋮ Pole-free solutions of the first Painlevé hierarchy and non-generic critical behavior for the KdV equation ⋮ A numerical study of the small dispersion limit of the Korteweg-de Vries equation and asymptotic solutions ⋮ Linearizable Abel equations and the Gurevich–Pitaevskii problem ⋮ Unnamed Item ⋮ Nonautonomous symmetries of the KdV equation and step-like solutions ⋮ Asymptotics of the Gurevich-Pitaevskii universal special solution of the Korteweg-de Vries equation as \(|x|\to\infty\) ⋮ On simultaneous solution of the KdV equation and a fifth-order differential equation ⋮ Integrable Abel equation and asymptotics of symmetry solutions of Korteweg-de Vries equation ⋮ ``Quantizations of higher Hamiltonian analogues of the Painlevé I and Painlevé II equations with two degrees of freedom ⋮ On the tritronquée solutions of \(\mathrm{P}_{\mathrm{I}}^2\)
Cites Work
This page was built for publication: Phase shift in the Whitham zone for the Gurevich-Pitaevskii special solution of the Korteweg-de Vries equation
