Bifurcation, Phase Portrait and Traveling Wave Solutions of the Coupled Fractional Lakshmanan–Porsezian–Daniel Equation

In this paper, we investigate the bifurcation, phase portrait and the traveling wave solutions of the coupled fractional Lakshmanan–Porsezian–Daniel equation by using the dynamical system bifurcation theory approach. Based on phase portrait, we obtain some new traveling wave solutions, which include...

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Vydáno v:Qualitative theory of dynamical systems Ročník 23; číslo 2
Hlavní autoři: Liu, Jing, Li, Zhao, He, Lin, Liu, Wei
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cham Springer International Publishing 01.04.2024
Témata:
Difference and Functional Equations
Dynamical Systems and Ergodic Theory
Mathematics
Mathematics and Statistics
Dynamical system bifurcation theory
Traveling wave solutions
Lakshmanan–Porsezian–Daniel equation
ISSN:1575-5460, 1662-3592
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Popis
Shrnutí:In this paper, we investigate the bifurcation, phase portrait and the traveling wave solutions of the coupled fractional Lakshmanan–Porsezian–Daniel equation by using the dynamical system bifurcation theory approach. Based on phase portrait, we obtain some new traveling wave solutions, which include Jacobi elliptic function solutions, soliton solutions, torsion wave solutions and periodic wave solutions. What’s more, we plot three-dimensional diagrams, contour plots and two-dimensional diagrams with the help of Maple, which provide a more visual demonstration of the section of this equation. The investigations are innovative and unexplored, and they can be employed to elucidate the physical phenomena that have been simulated, providing insights into their transient dynamic characteristics.
ISSN:1575-5460
1662-3592
DOI:10.1007/s12346-023-00935-4