Breathers for a relativistic nonlinear wave equation

Alain Bensoussan; Cyrill Iliine; Alexander Komech

doi:10.1007/s00205-002-0226-5

Breathers for a relativistic nonlinear wave equation

Alain Bensoussan
, Cyrill Iliine
, Alexander Komech

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

10 Citations (Scopus)

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.

Original language	English
Pages (from-to)	317-345
Journal	Archive for Rational Mechanics and Analysis
Volume	165
Issue number	4
DOIs	https://doi.org/10.1007/s00205-002-0226-5
Publication status	Published - Dec 2002
Externally published	Yes

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title = "Breathers for a relativistic nonlinear wave equation",

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.",

author = "Alain Bensoussan and Cyrill Iliine and Alexander Komech",

year = "2002",

month = dec,

doi = "10.1007/s00205-002-0226-5",

language = "English",

volume = "165",

pages = "317--345",

journal = "Archive for Rational Mechanics and Analysis",

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TY - JOUR

T1 - Breathers for a relativistic nonlinear wave equation

AU - Bensoussan, Alain

AU - Iliine, Cyrill

AU - Komech, Alexander

PY - 2002/12

Y1 - 2002/12

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0036027323

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0036027323&origin=recordpage

U2 - 10.1007/s00205-002-0226-5

DO - 10.1007/s00205-002-0226-5

M3 - RGC 21 - Publication in refereed journal

SN - 0003-9527

VL - 165

SP - 317

EP - 345

JO - Archive for Rational Mechanics and Analysis

JF - Archive for Rational Mechanics and Analysis

IS - 4

ER -

Breathers for a relativistic nonlinear wave equation

Abstract

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