The Camassa-Holm approximation to the double dispersion equation for arbitrarily long times

Name: The Camassa-Holm approximation to the double dispersion equation for arbitrarily long times
Author: Erbay, Saadet, Erkip, A., Kuruk, G.

İsim	The Camassa-Holm approximation to the double dispersion equation for arbitrarily long times
Yazar	Erbay, Saadet, Erkip, A., Kuruk, G.
Basım Tarihi:	2022-09
Basım Yeri	- Springer
Konu	Asymptotic expansion, Camassa-Holm equation, Double dispersion equation, Long time existence, Rigorous justification
Tür	Süreli Yayın
Dil	İngilizce
Dijital	Evet
Yazma	Hayır
Kütüphane:	Özyeğin Üniversitesi
Demirbaş Numarası	0026-9255
Kayıt Numarası	26a24983-9bf7-4735-a0d6-95417451266e
Lokasyon	Natural and Mathematical Sciences
Tarih	2022-09
Örnek Metin	In the present paper we prove the validity of the Camassa-Holm equation as a long wave limit to the double dispersion equation which describes the propagation of bidirectional weakly nonlinear and dispersive waves in an infinite elastic medium. First we show formally that the right-going wave solutions of the double dispersion equation can be approximated by the solutions of the Camassa-Holm equation in the long wave limit. Then we rigorously prove that the solutions of the double dispersion and the Camassa-Holm equations remain close over a long time interval, determined by two small parameters measuring the effects of nonlinearity and dispersion.
DOI	10.1007/s00605-022-01740-y
Cilt	199

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The Camassa-Holm approximation to the double dispersion equation for arbitrarily long times

Yazar Erbay, Saadet, Erkip, A., Kuruk, G.

Basım Tarihi 2022-09

Basım Yeri - Springer

Konu Asymptotic expansion, Camassa-Holm equation, Double dispersion equation, Long time existence, Rigorous justification

Tür Süreli Yayın

Dil İngilizce

Dijital Evet

Yazma Hayır

Kütüphane Özyeğin Üniversitesi

Demirbaş Numarası 0026-9255

Kayıt Numarası 26a24983-9bf7-4735-a0d6-95417451266e

Lokasyon Natural and Mathematical Sciences

Tarih 2022-09

Örnek Metin In the present paper we prove the validity of the Camassa-Holm equation as a long wave limit to the double dispersion equation which describes the propagation of bidirectional weakly nonlinear and dispersive waves in an infinite elastic medium. First we show formally that the right-going wave solutions of the double dispersion equation can be approximated by the solutions of the Camassa-Holm equation in the long wave limit. Then we rigorously prove that the solutions of the double dispersion and the Camassa-Holm equations remain close over a long time interval, determined by two small parameters measuring the effects of nonlinearity and dispersion.

DOI 10.1007/s00605-022-01740-y

Cilt 199