Temporal asymptotics for soliton equations in problems with step initial conditions

DOI10.1007/s10958-005-0091-5zbMath1075.35071OpenAlexW4243719789MaRDI QIDQ2487430

Victor Yu. Novokshenov

Publication date: 5 August 2005

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0091-5

zbMATH Keywords

KdV equationlarge-time asymptoticssine-Gordon equationstep-like initial conditionsWhitham averaging method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Related Items (11)

Rarefaction waves of the Korteweg-de Vries equation via nonlinear steepest descent ⋮ The complex MKDV equation with step-like initial data: Large time asymptotic analysis ⋮ Global well-posedness for \(H^{-1}(\mathbb{R})\) perturbations of KdV with exotic spatial asymptotics ⋮ Nonautonomous symmetries of the KdV equation and step-like solutions ⋮ DISPERSIVE RAREFACTION WAVE WITH A LARGE INITIAL GRADIENT ⋮ Mini-workshop: Reflectionless operators: the Deift and Simon conjectures. Abstracts from the mini-workshop held October 22--28, 2017 ⋮ Initial-boundary value problem for stimulated Raman scattering model: solvability of Whitham type system of equations arising in long-time asymptotic analysis ⋮ Laguerre polynomials and transitional asymptotics of the modified Korteweg-de Vries equation for step-like initial data ⋮ Riemann–Hilbert problem to the modified Korteveg–de Vries equation: Long-time dynamics of the steplike initial data ⋮ On the Cauchy problem for the Korteweg-de Vries equation with steplike finite-gap initial data. II: Perturbations with finite moments ⋮ The focusing NLS equation with step-like oscillating background: the genus \(3\) sector

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