In this academic investigation, an innovative mapping approach is applied to complex three coupled Maccari’s system to unveil novel soliton solutions. This is achieved through the utilization of M-Truncated fractional derivative with employing the new mapping method and computer algebraic syatem (CAS) such as Maple. The derived solutions in the form of hyperbolic and trigonometric functions. Our study elucidates a variety of soliton solutions such as periodic, singular, dark, kink, bright, dark-bright solitons solutions. To facilitate comprehension, with certain solutions being visually depicted through 2-dimensional, contour, 3-dimensional, and phase plots depicting bifurcation characteristics utilizing Maple software. Furthermore, the incorporation of M-Truncated derivative enables a more extensive exploration of solution patterns. Our study establishes a connection between computer science and soliton physics, emphasizing the pivotal role of soliton phenomena in advancing simulations and computational modeling. Analytical solutions are subsequently generated through the application of the new mapping method. Following this, a thorough examination of the dynamic nature of the equation is conducted from various perspectives. In essence, understanding the dynamic characteristics of systems is of great importance for predicting outcomes and advancing new technologies. This research significantly contributes to the convergence of theoretical mathematics and applied computer science, emphasizing the crucial role of solitons in scientific disciplines.
Complex three coupled Maccari’s system A new mapping method; Soliton patterns Bifurcation; M-Truncated fractional derivative
VSB-Technical University of Ostrava
e-INFRA CZ (ID:90254).
The Authors are thankful to the Czech Ministry of Education, Youth, and Sports for their assistance through the e-INFRA CZ (ID:90254).
e-INFRA CZ (ID:90254).
Birincil Dil | İngilizce |
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Konular | Matematikte Kompleks Sistemler , Teorik ve Uygulamalı Mekanik Matematiği, Uygulamalarda Dinamik Sistemler, Uygulamalı Matematik (Diğer) |
Bölüm | Research Articles |
Yazarlar | |
Proje Numarası | e-INFRA CZ (ID:90254). |
Yayımlanma Tarihi | 31 Temmuz 2024 |
Gönderilme Tarihi | 5 Ocak 2024 |
Kabul Tarihi | 4 Nisan 2024 |
Yayımlandığı Sayı | Yıl 2024 Cilt: 6 Sayı: 3 |
Chaos Theory and Applications in Applied Sciences and Engineering: An interdisciplinary journal of nonlinear science
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