Group properties and conservation laws for nonlocal shallow water wave equation

Farshad Rezvan; Emrullah Yaşar; Teoman Özer

doi:10.1016/j.amc.2011.03.020

Group properties and conservation laws for nonlocal shallow water wave equation

Farshad Rezvan, Emrullah Yaşar, Teoman Özer^*

^*Bu çalışma için yazışmadan sorumlu yazar

İnşaat Mühendisliği Bölümü

Araştırma sonucu: ???type-name??? › Makale › bilirkişi

11 Atıf (Scopus)

Özet

Symmetry groups, symmetry reductions, optimal system, conservation laws and invariant solutions of the shallow water wave equation with nonlocal term are studied. First, Lie symmetries based on the invariance criterion for nonlocal equations and the solution approach for nonlocal determining equations are found and then the reduced equations and optimal system are obtained. Finally, new conservation laws are generated and some similarity solutions for symmetry reduction forms are discussed.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	974-979
Sayfa sayısı	6
Dergi	Applied Mathematics and Computation
Hacim	218
Basın numarası	3
DOI'lar	https://doi.org/10.1016/j.amc.2011.03.020
Yayın durumu	Yayınlandı - 1 Eki 2011

Belgeye Erişim

10.1016/j.amc.2011.03.020

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "Group properties and conservation laws for nonlocal shallow water wave equation",

abstract = "Symmetry groups, symmetry reductions, optimal system, conservation laws and invariant solutions of the shallow water wave equation with nonlocal term are studied. First, Lie symmetries based on the invariance criterion for nonlocal equations and the solution approach for nonlocal determining equations are found and then the reduced equations and optimal system are obtained. Finally, new conservation laws are generated and some similarity solutions for symmetry reduction forms are discussed.",

keywords = "Conservation laws, Lie symmetries, Nonlocal shallow water wave equation, Optimal system, Self-similar solutions, Symmetry reductions",

author = "Farshad Rezvan and Emrullah Ya{\c s}ar and Teoman {\"O}zer",

year = "2011",

month = oct,

day = "1",

doi = "10.1016/j.amc.2011.03.020",

language = "English",

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journal = "Applied Mathematics and Computation",

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T1 - Group properties and conservation laws for nonlocal shallow water wave equation

AU - Rezvan, Farshad

AU - Yaşar, Emrullah

AU - Özer, Teoman

PY - 2011/10/1

Y1 - 2011/10/1

N2 - Symmetry groups, symmetry reductions, optimal system, conservation laws and invariant solutions of the shallow water wave equation with nonlocal term are studied. First, Lie symmetries based on the invariance criterion for nonlocal equations and the solution approach for nonlocal determining equations are found and then the reduced equations and optimal system are obtained. Finally, new conservation laws are generated and some similarity solutions for symmetry reduction forms are discussed.

AB - Symmetry groups, symmetry reductions, optimal system, conservation laws and invariant solutions of the shallow water wave equation with nonlocal term are studied. First, Lie symmetries based on the invariance criterion for nonlocal equations and the solution approach for nonlocal determining equations are found and then the reduced equations and optimal system are obtained. Finally, new conservation laws are generated and some similarity solutions for symmetry reduction forms are discussed.

KW - Conservation laws

KW - Lie symmetries

KW - Nonlocal shallow water wave equation

KW - Optimal system

KW - Self-similar solutions

KW - Symmetry reductions

UR - http://www.scopus.com/inward/record.url?scp=80052265743&partnerID=8YFLogxK

U2 - 10.1016/j.amc.2011.03.020

DO - 10.1016/j.amc.2011.03.020

M3 - Article

AN - SCOPUS:80052265743

SN - 0096-3003

VL - 218

SP - 974

EP - 979

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 3

ER -

Group properties and conservation laws for nonlocal shallow water wave equation

Özet

Belgeye Erişim

Diğer Dosyalar ve Linkler

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