Breathers for a relativistic nonlinear wave equation

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)317-345
Journal / PublicationArchive for Rational Mechanics and Analysis
Volume165
Issue number4
Publication statusPublished - Dec 2002
Externally publishedYes

Abstract

A new class of one-dimensional relativistic nonlinear wave equations with a singular δ-type nonlinear term is considered. The sense of the equations is defined according to the least-action principle. The energy and momentum conservation is established. The main results are the existence of time-periodic finite-energy solutions, the existence of global solutions and soliton-type asymptotics for a class of finite-energy initial data.

Citation Format(s)

Breathers for a relativistic nonlinear wave equation. / Bensoussan, Alain; Iliine, Cyrill; Komech, Alexander.

In: Archive for Rational Mechanics and Analysis, Vol. 165, No. 4, 12.2002, p. 317-345.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review