An expansion method for generating travelling wave solutions for the (2 + 1)-dimensional Bogoyavlensky-Konopelchenko equation with variable coefficients
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Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/embargoedAccess
Özet
This paper presents a new approach to studying nonlinear evolution equations with variable coefficients and
applies it to the Bogoyavlensky-Konopelchenko equation. The Bogoyavlensky-Konopelchenko equation, which
describes the interaction between a long wave and a Riemann wave in a special fluid, has many applications in
fluid dynamics of mathematical physics. Most studies in the literature focus on the Bogoyavlensky Konopelchenko equation with constant coefficients. This can lead to deficiencies in the understanding of the
physical phenomena revealed by the model. To overcome this limitation, terms with time-varying coefficients are
introduced into the Bogoyavlensky-Konopelchenko equation. With the addition of these terms, the model is
brought closer to the real problem and the physical phenomenon can discussed with more freedom. This study
has three main focal points. Firstly, it introduces a novel approach designed for nonlinear evolution equations
characterized by variable coefficients. Secondly, the proposed method is applied to generate solutions for the
Bogoyavlensky-Konopelchenko equation, showcasing distinctions from existing literature. Finally, the effects of
time-varying coefficients on solitons and their interactions with each other in the generated travelling wave
solutions are analysed in detail under certain restrictive conditions. The results shed light on the physical
behavior of the Bogoyavlensky-Konopelchenko equation with variable coefficients and contribute to a better
understanding of similar models. The proposed method opens new possibilities for the study of nonlinear evo lution equations with variable coefficients and provides avenues for analytical investigation of their solutions.
Açıklama
Anahtar Kelimeler
Nonlinear dynamics; The new expansion method; Bogoyavlensky-Konopelchenko equation with; Variable coefficients; Travelling wave solutions
Kaynak
Chaos, Solitons and Fractals
WoS Q Değeri
Q1
Scopus Q Değeri
N/A
Cilt
178
