Invariant solutions for a class of perturbed nonlinear wave equations

Waheed A. Ahmed; F. D. Zaman; Khairul Saleh

doi:10.3390/math5040059

Invariant solutions for a class of perturbed nonlinear wave equations

Waheed A. Ahmed
, F. D. Zaman
, Khairul Saleh^*

^*Corresponding author for this work

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

1 Scopus citations

Abstract

Approximate symmetries of a class of perturbed nonlinear wave equations are computed using two newly-developed methods. Invariant solutions associated with the approximate symmetries are constructed for both methods. Symmetries and solutions are compared through discussing the advantages and disadvantages of each method.

Original language	English
Article number	59
Journal	Mathematics
Volume	5
Issue number	4
DOIs	https://doi.org/10.3390/math5040059
State	Published - 1 Nov 2017

Bibliographical note

Publisher Copyright:
© 2017 by the authors.

Keywords

Approximate invariant solution
Approximate symmetry
Nonlinear wave equation

ASJC Scopus subject areas

General Mathematics

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10.3390/math5040059

Cite this

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title = "Invariant solutions for a class of perturbed nonlinear wave equations",

abstract = "Approximate symmetries of a class of perturbed nonlinear wave equations are computed using two newly-developed methods. Invariant solutions associated with the approximate symmetries are constructed for both methods. Symmetries and solutions are compared through discussing the advantages and disadvantages of each method.",

keywords = "Approximate invariant solution, Approximate symmetry, Nonlinear wave equation",

author = "Ahmed, \{Waheed A.\} and Zaman, \{F. D.\} and Khairul Saleh",

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doi = "10.3390/math5040059",

language = "English",

volume = "5",

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T1 - Invariant solutions for a class of perturbed nonlinear wave equations

AU - Ahmed, Waheed A.

AU - Zaman, F. D.

AU - Saleh, Khairul

PY - 2017/11/1

Y1 - 2017/11/1

N2 - Approximate symmetries of a class of perturbed nonlinear wave equations are computed using two newly-developed methods. Invariant solutions associated with the approximate symmetries are constructed for both methods. Symmetries and solutions are compared through discussing the advantages and disadvantages of each method.

AB - Approximate symmetries of a class of perturbed nonlinear wave equations are computed using two newly-developed methods. Invariant solutions associated with the approximate symmetries are constructed for both methods. Symmetries and solutions are compared through discussing the advantages and disadvantages of each method.

KW - Approximate invariant solution

KW - Approximate symmetry

KW - Nonlinear wave equation

UR - https://www.scopus.com/pages/publications/85035049178

U2 - 10.3390/math5040059

DO - 10.3390/math5040059

M3 - Article

AN - SCOPUS:85035049178

SN - 2227-7390

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JO - Mathematics

JF - Mathematics

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M1 - 59

ER -

Invariant solutions for a class of perturbed nonlinear wave equations

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this