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Symbolic computation and sensitivity analysis of nonlinear Kudryashovs dynamical equation with applications      
Yazarlar
Nauman Raza
Aly R. Seadawy
Doç. Dr. Melike KAPLAN YALÇIN Doç. Dr. Melike KAPLAN YALÇIN
Kastamonu Üniversitesi, Türkiye
Asma Rashid Butt
Özet
This article aims to identify solitary wave solutions to a nonlinear Kudryashov's equation utilizing an exponential rational function method and Painlevé approach. This model is used to interpret the propagation of modulated envelope signals which disseminate with some group velocity. These two different methods are applied to build analytical solutions of the model that are relatively new and effective to solve the nonlinear evolution equation. Hyperbolic wave function and kink solitons are two types of traveling wave solutions that can be obtained using these techniques. For the existence of these solitons, constraint conditions on the parameters have also been listed. Graphical illustrations have also been given to understand the physical significance of the proposed model. In the end stability analysis of the obtained solution is carried out for depicting the importance of the model.
Anahtar Kelimeler
Exponential rational function method | Kudryashov's equation | Solitons | Symbolic computation
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı PHYSICA SCRIPTA
Dergi ISSN 0031-8949
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q2
Makale Dili İngilizce
Basım Tarihi 10-2021
Cilt No 96
Sayı 10
Doi Numarası 10.1088/1402-4896/ac0f93
Makale Linki http://dx.doi.org/10.1088/1402-4896/ac0f93