Symmetry reductions for 2-dimensional non-linear wave equation

A. Ahmad; A. H. Bokhari; A. H. Kara; F. D. Zaman

doi:10.1393/ncb/i2006-10031-0

Symmetry reductions for 2-dimensional non-linear wave equation

A. Ahmad^*
, A. 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

Lie symmetry method is used to find symmetry reductions for the non-linear wave equation u_tt = uⁿ(u_xx + u_yy). A set of symmetries and Lie algebra are found and reduction under each 2-dimensional sub-algebra is presented.

Original language	English
Pages (from-to)	571-578
Number of pages	8
Journal	Nuovo Cimento della Societa Italiana di Fisica B
Volume	121
Issue number	6
DOIs	https://doi.org/10.1393/ncb/i2006-10031-0
State	Published - Jun 2006

ASJC Scopus subject areas

General Physics and Astronomy

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@article{6434cd7bfaab4ea29da225be4243e4ef,

title = "Symmetry reductions for 2-dimensional non-linear wave equation",

abstract = "Lie symmetry method is used to find symmetry reductions for the non-linear wave equation utt = un(uxx + uyy). A set of symmetries and Lie algebra are found and reduction under each 2-dimensional sub-algebra is presented.",

author = "A. Ahmad and Bokhari, \{A. H.\} and Kara, \{A. H.\} and Zaman, \{F. D.\}",

year = "2006",

month = jun,

doi = "10.1393/ncb/i2006-10031-0",

language = "English",

volume = "121",

pages = "571--578",

journal = "Nuovo Cimento della Societa Italiana di Fisica B",

issn = "0369-3554",

publisher = "Editrice Compositori s.r.l.",

number = "6",

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TY - JOUR

T1 - Symmetry reductions for 2-dimensional non-linear wave equation

AU - Ahmad, A.

AU - Bokhari, A. H.

AU - Kara, A. H.

AU - Zaman, F. D.

PY - 2006/6

Y1 - 2006/6

N2 - Lie symmetry method is used to find symmetry reductions for the non-linear wave equation utt = un(uxx + uyy). A set of symmetries and Lie algebra are found and reduction under each 2-dimensional sub-algebra is presented.

AB - Lie symmetry method is used to find symmetry reductions for the non-linear wave equation utt = un(uxx + uyy). A set of symmetries and Lie algebra are found and reduction under each 2-dimensional sub-algebra is presented.

UR - https://www.scopus.com/pages/publications/33846705351

U2 - 10.1393/ncb/i2006-10031-0

DO - 10.1393/ncb/i2006-10031-0

M3 - Article

AN - SCOPUS:33846705351

SN - 0369-3554

VL - 121

SP - 571

EP - 578

JO - Nuovo Cimento della Societa Italiana di Fisica B

JF - Nuovo Cimento della Societa Italiana di Fisica B

IS - 6

ER -

Symmetry reductions for 2-dimensional non-linear wave equation

Abstract

ASJC Scopus subject areas

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