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The analysis of conservation laws, symmetries and solitary wave solutions of Burgers-Fisher equation      
Yazarlar
Arzu Akbulut
Doç. Dr. Melike KAPLAN YALÇIN Doç. Dr. Melike KAPLAN YALÇIN
Kastamonu Üniversitesi, Türkiye
Dipankar Kumar
Filiz Taşcan
Eskişehir Osmangazi Üniversitesi, Türkiye
Özet
In this paper, the conservation laws, significant symmetries' application, and traveling wave solutions are obtained for Burger-Fisher equation (BFE). Conservation laws have a great importance for partial and fractional differential equations and their solutions, especially in physics implementations. The conservation theorem and partial Noether approach are implemented for conservation laws for this equation, and the extended sinh-Gordon expansion method (esGEM) is presented for new solitary wave solutions. All obtained conservation laws are trivial conservation laws. The new and comprehensive solitary wave solutions of the equation by the esGEM are also obtained.
Anahtar Kelimeler
Burgers-Fisher equation | conservation laws | conservation theorem | Partial differential equations | partial Noether approach | the extended sinh-Gordon expansion method
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı INTERNATIONAL JOURNAL OF MODERN PHYSICS B
Dergi ISSN 0217-9792
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q3
Makale Dili İngilizce
Basım Tarihi 09-2021
Cilt No 35
Sayı 22
Doi Numarası 10.1142/S0217979221502246
Makale Linki http://dx.doi.org/10.1142/s0217979221502246