Invariance properties and conservation laws of the nonlinear damped wave equation with power law nonlinearities

Usamah S. Al Ali; Ashfaque H. Bokhari; A. H. Kara; F. D. Zaman

doi:10.1016/j.rinp.2017.02.026

Invariance properties and conservation laws of the nonlinear damped wave equation with power law nonlinearities

Usamah S. Al Ali
, Ashfaque H. Bokhari^*
, A. H. Kara
, F. D. Zaman

^*Corresponding author for this work

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

Abstract

Nonlinear evolution equations represent some of the most fundamental processes in both physics as well engineering. Considering this, we analyze and classify the three dimensional wave equation with a power law nonlinearity in presence of damping and external force terms. In view of the significance of conservation laws in physics, a study of the invariance properties is presented and conservation laws are constructed and classified. An illustrative case of a symmetry reduction in one special case is presented.

Original language	English
Pages (from-to)	991-994
Number of pages	4
Journal	Results in Physics
Volume	7
DOIs	https://doi.org/10.1016/j.rinp.2017.02.026
State	Published - 2017

Bibliographical note

Publisher Copyright:
© 2017 The Authors

Keywords

Conservation laws
Damped wave
Diffusion
Power law non-linearity

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/j.rinp.2017.02.026

Cite this

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title = "Invariance properties and conservation laws of the nonlinear damped wave equation with power law nonlinearities",

abstract = "Nonlinear evolution equations represent some of the most fundamental processes in both physics as well engineering. Considering this, we analyze and classify the three dimensional wave equation with a power law nonlinearity in presence of damping and external force terms. In view of the significance of conservation laws in physics, a study of the invariance properties is presented and conservation laws are constructed and classified. An illustrative case of a symmetry reduction in one special case is presented.",

keywords = "Conservation laws, Damped wave, Diffusion, Power law non-linearity",

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year = "2017",

doi = "10.1016/j.rinp.2017.02.026",

language = "English",

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journal = "Results in Physics",

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AU - Al Ali, Usamah S.

AU - Bokhari, Ashfaque H.

AU - Kara, A. H.

AU - Zaman, F. D.

PY - 2017

Y1 - 2017

N2 - Nonlinear evolution equations represent some of the most fundamental processes in both physics as well engineering. Considering this, we analyze and classify the three dimensional wave equation with a power law nonlinearity in presence of damping and external force terms. In view of the significance of conservation laws in physics, a study of the invariance properties is presented and conservation laws are constructed and classified. An illustrative case of a symmetry reduction in one special case is presented.

AB - Nonlinear evolution equations represent some of the most fundamental processes in both physics as well engineering. Considering this, we analyze and classify the three dimensional wave equation with a power law nonlinearity in presence of damping and external force terms. In view of the significance of conservation laws in physics, a study of the invariance properties is presented and conservation laws are constructed and classified. An illustrative case of a symmetry reduction in one special case is presented.

KW - Conservation laws

KW - Damped wave

KW - Diffusion

KW - Power law non-linearity

UR - https://www.scopus.com/pages/publications/85014400349

U2 - 10.1016/j.rinp.2017.02.026

DO - 10.1016/j.rinp.2017.02.026

M3 - Article

AN - SCOPUS:85014400349

SN - 2211-3797

VL - 7

SP - 991

EP - 994

JO - Results in Physics

JF - Results in Physics

ER -

Invariance properties and conservation laws of the nonlinear damped wave equation with power law nonlinearities

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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