Compactons in a class of doubly sublinear Gardner equations

Philip Rosenau; Alexander Oron

doi:10.1016/j.wavemoti.2024.103427

Compactons in a class of doubly sublinear Gardner equations

Philip Rosenau, Alexander Oron^*

^*Corresponding author for this work

School of Mathematical Sciences

Technion-Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce and study a class of doubly sublinear Gardner equations u_t+F(u;n)_x+u_3x=0 where F(u;n)=u¹⁺ⁿ−κ_1+2nu¹⁺²ⁿ, which for 0<n induce solitons and in the doubly sublinear cases wherein −1/2<n<0, bi-directional compactons propagating in either direction. Their emergence, evolution, chase and head-on interactions are studied.

Original language	English
Article number	103427
Journal	Wave Motion
Volume	132
DOIs	https://doi.org/10.1016/j.wavemoti.2024.103427
State	Published - Jan 2025

Funding

Funders	Funder number
Israel Science Foundation	1983/22

Keywords

Chase
Collision
Compactons
Solitons

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10.1016/j.wavemoti.2024.103427

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title = "Compactons in a class of doubly sublinear Gardner equations",

abstract = "We introduce and study a class of doubly sublinear Gardner equations ut+F(u;n)x+u3x=0 where F(u;n)=u1+n−κ1+2nu1+2n, which for 0",

keywords = "Chase, Collision, Compactons, Solitons",

author = "Philip Rosenau and Alexander Oron",

note = "Publisher Copyright: {\textcopyright} 2024 Elsevier B.V.",

year = "2025",

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doi = "10.1016/j.wavemoti.2024.103427",

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AU - Oron, Alexander

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AB - We introduce and study a class of doubly sublinear Gardner equations ut+F(u;n)x+u3x=0 where F(u;n)=u1+n−κ1+2nu1+2n, which for 0

KW - Chase

KW - Collision

KW - Compactons

KW - Solitons

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Compactons in a class of doubly sublinear Gardner equations

Abstract

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Keywords

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