Analytical soliton solutions and dynamic behaviors of a fractional nonlinear model in relativistic wave mechanics
Source abstract
Abstract
This article studied the quadratic fractional Klein–Fock–Gordon (KFG) equation in (1 + 1)-dimensions and solved it using the ϕ6-model expansion method. The governing equation arises in various real-life phenomena, including relativity, quantum field theory, and condensed matter physics, among others. Expressing a relation with a variable enables the conversion of this model’s partial differential equation formula into an ordinary differential equation, with solutions expressed in terms of hyperbolic, Jacobi elliptic, and trigonometric functions. A planar dynamical background is used to qualitatively assess the model, including a detailed analysis of bifurcation, chaos, and stability behaviors with diverse chaos-identification tools. This paper also seeks to permit us to finalize that the tactic is cooperative, advantageous, suitable, and comforting for the behavior of different kinds of nonlinear models.
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Research context
OpenAlex topics: Fractional Differential Equations Solutions · Nonlinear Waves and Solitons · Nonlinear Photonic Systems
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Mathematics, Comilla University , Cumilla 3506,
References (33)
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