On the Symmetries and Conservation Laws of the Multidimensional Nonlinear Damped Wave Equations

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

doi:10.1155/2017/9401205

On the Symmetries and Conservation Laws of the Multidimensional Nonlinear Damped Wave Equations

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

2 Scopus citations

Abstract

We carry out a classification of Lie symmetries for the (2+1)-dimensional nonlinear damped wave equation utt+fuut=div(gugradu) with variable damping. Similarity reductions of the equation are performed using the admitted Lie symmetries of the equation and some interesting solutions are presented. Employing the multiplier approach, admitted conservation laws of the equation are constructed for some new, interesting cases.

Original language	English
Article number	9401205
Journal	Advances in Mathematical Physics
Volume	2017
DOIs	https://doi.org/10.1155/2017/9401205
State	Published - 2017

Bibliographical note

Publisher Copyright:
© 2017 Usamah S. Al-Ali et al.

ASJC Scopus subject areas

General Physics and Astronomy
Applied Mathematics

Access to Document

10.1155/2017/9401205

Cite this

@article{51e47d5a18de4a5b80e5273665e32066,

title = "On the Symmetries and Conservation Laws of the Multidimensional Nonlinear Damped Wave Equations",

abstract = "We carry out a classification of Lie symmetries for the (2+1)-dimensional nonlinear damped wave equation utt+fuut=div(gugradu) with variable damping. Similarity reductions of the equation are performed using the admitted Lie symmetries of the equation and some interesting solutions are presented. Employing the multiplier approach, admitted conservation laws of the equation are constructed for some new, interesting cases.",

author = "Al-Ali, \{Usamah S.\} and Bokhari, \{Ashfaque H.\} and Kara, \{A. H.\} and Zaman, \{F. D.\}",

note = "Publisher Copyright: {\textcopyright} 2017 Usamah S. Al-Ali et al.",

year = "2017",

doi = "10.1155/2017/9401205",

language = "English",

volume = "2017",

journal = "Advances in Mathematical Physics",

issn = "1687-9120",

}

TY - JOUR

T1 - On the Symmetries and Conservation Laws of the Multidimensional Nonlinear Damped Wave Equations

AU - Al-Ali, Usamah S.

AU - Bokhari, Ashfaque H.

AU - Kara, A. H.

AU - Zaman, F. D.

PY - 2017

Y1 - 2017

N2 - We carry out a classification of Lie symmetries for the (2+1)-dimensional nonlinear damped wave equation utt+fuut=div(gugradu) with variable damping. Similarity reductions of the equation are performed using the admitted Lie symmetries of the equation and some interesting solutions are presented. Employing the multiplier approach, admitted conservation laws of the equation are constructed for some new, interesting cases.

AB - We carry out a classification of Lie symmetries for the (2+1)-dimensional nonlinear damped wave equation utt+fuut=div(gugradu) with variable damping. Similarity reductions of the equation are performed using the admitted Lie symmetries of the equation and some interesting solutions are presented. Employing the multiplier approach, admitted conservation laws of the equation are constructed for some new, interesting cases.

UR - https://www.scopus.com/pages/publications/85010977204

U2 - 10.1155/2017/9401205

DO - 10.1155/2017/9401205

M3 - Article

AN - SCOPUS:85010977204

SN - 1687-9120

VL - 2017

JO - Advances in Mathematical Physics

JF - Advances in Mathematical Physics

M1 - 9401205

ER -

On the Symmetries and Conservation Laws of the Multidimensional Nonlinear Damped Wave Equations

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this