Dynamics of kinks in two-dimensional hyperbolic models

Horacio G. Rotstein; Alexander A. Nepomnyashchy

doi:10.1016/S0167-2789(99)00160-8

Dynamics of kinks in two-dimensional hyperbolic models

Horacio G. Rotstein, Alexander A. Nepomnyashchy

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

24 Scopus citations

Abstract

We study the motion of fronts for an extended version of the nonlinear wave equation, ∈²φ_tt + ∈²γφ_t = ∈² Δφ + f (φ) + ∈h + ∈⁴ηΔφ_t with positive ∈ ≪ 1 in cartesian and polar coordinates and give a local description of the front in terms of its normal velocity, acceleration and curvature. We study analytically and numerically the motion of planar and circular fronts and perturbations on them.

Original language	English (US)
Pages (from-to)	245-265
Number of pages	21
Journal	Physica D: Nonlinear Phenomena
Volume	136
Issue number	3-4
DOIs	https://doi.org/10.1016/S0167-2789(99)00160-8
State	Published - Feb 15 2000
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

Keywords

Born-Infeld equation
Front motion
Hyperbolic models
Kink dynamics

Access to Document

10.1016/S0167-2789(99)00160-8

Cite this

@article{59901287119d4f53b9d0ec486ac9d86d,

title = "Dynamics of kinks in two-dimensional hyperbolic models",

abstract = "We study the motion of fronts for an extended version of the nonlinear wave equation, ∈2φtt + ∈2γφt = ∈2 Δφ + f (φ) + ∈h + ∈4ηΔφt with positive ∈ ≪ 1 in cartesian and polar coordinates and give a local description of the front in terms of its normal velocity, acceleration and curvature. We study analytically and numerically the motion of planar and circular fronts and perturbations on them.",

keywords = "Born-Infeld equation, Front motion, Hyperbolic models, Kink dynamics",

author = "Rotstein, \{Horacio G.\} and Nepomnyashchy, \{Alexander A.\}",

year = "2000",

month = feb,

day = "15",

doi = "10.1016/S0167-2789(99)00160-8",

language = "English (US)",

volume = "136",

pages = "245--265",

journal = "Physica D: Nonlinear Phenomena",

issn = "0167-2789",

publisher = "Elsevier B.V.",

number = "3-4",

}

TY - JOUR

T1 - Dynamics of kinks in two-dimensional hyperbolic models

AU - Rotstein, Horacio G.

AU - Nepomnyashchy, Alexander A.

PY - 2000/2/15

Y1 - 2000/2/15

N2 - We study the motion of fronts for an extended version of the nonlinear wave equation, ∈2φtt + ∈2γφt = ∈2 Δφ + f (φ) + ∈h + ∈4ηΔφt with positive ∈ ≪ 1 in cartesian and polar coordinates and give a local description of the front in terms of its normal velocity, acceleration and curvature. We study analytically and numerically the motion of planar and circular fronts and perturbations on them.

AB - We study the motion of fronts for an extended version of the nonlinear wave equation, ∈2φtt + ∈2γφt = ∈2 Δφ + f (φ) + ∈h + ∈4ηΔφt with positive ∈ ≪ 1 in cartesian and polar coordinates and give a local description of the front in terms of its normal velocity, acceleration and curvature. We study analytically and numerically the motion of planar and circular fronts and perturbations on them.

KW - Born-Infeld equation

KW - Front motion

KW - Hyperbolic models

KW - Kink dynamics

UR - https://www.scopus.com/pages/publications/0346057255

UR - https://www.scopus.com/inward/citedby.url?scp=0346057255&partnerID=8YFLogxK

U2 - 10.1016/S0167-2789(99)00160-8

DO - 10.1016/S0167-2789(99)00160-8

M3 - Article

AN - SCOPUS:0346057255

SN - 0167-2789

VL - 136

SP - 245

EP - 265

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 3-4

ER -

Dynamics of kinks in two-dimensional hyperbolic models

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this