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Nonlinearity-induced topological phase transition characterized by the nonlinear Chern number
As first demonstrated by the characterization of the quantum Hall effect by the Chern number, topology provides a guiding principle to realize the...
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The Topological State Derivative: An Optimal Control Perspective on Topology Optimisation
In this paper, we introduce the topological state derivative for general topological dilatations and explore its relation to standard optimal control...
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Topological entropy of switched nonlinear and interconnected systems
A general upper bound for topological entropy of switched nonlinear systems is constructed, using an asymptotic average of upper limits of the matrix...
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A variety of optical soliton solutions in closed-form of the nonlinear cubic quintic Schrödinger equations with beta derivative
In the field of nonlinear optics, both fractional and classical-order nonlinear Schrödinger (NS) equations are investigated. However, the...
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On Nonlinear Analysis for Multi-term Delay Fractional Differential Equations Under Hilfer Derivative
In this manuscript, a class of multi-term delay fractional differential equations (FDEs) under the Hilfer derivative is considered. Some newly...
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Exact solutions, bifurcation analysis and chaotic behavior of high-order nonlinear Schrödinger equation with conformal fractional derivative
This study thoroughly investigates the dynamical properties, analytical solutions and chaotic behavior of the high-order nonlinear Schrödinger...
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Nonlinear topological symmetry protection in a dissipative system
We investigate experimentally and theoretically a system ruled by an intricate interplay between topology, nonlinearity, and spontaneous symmetry...
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Topological derivatives for shell structure optimization considering crash loadcases with material nonlinearities and large deformations
The topological derivatives for shell structures in dynamic loadcases, which are often used in lightweight designs, are developed. These...
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Nonlinear second-order photonic topological insulators
Higher-order topological insulators are a novel topological phase beyond the framework of conventional bulk–boundary correspondence
1 ,2 . In these...
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Well-posedness of a nonlinear Hilfer fractional derivative model for the Antarctic circumpolar current
This article explores the Hilfer fractional derivative within the context of fractional differential equations and investigates a mathematical model...
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Topological black holes in higher derivative gravity
We study static black holes in quadratic gravity with planar and hyperbolic symmetry and non-extremal horizons. We obtain a solution in terms of an...
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Topological solitonic macromolecules
Being ubiquitous, solitons have particle-like properties, exhibiting behaviour often associated with atoms. Bound solitons emulate dynamics of...
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Investigation of solitons and conservation laws in an inhomogeneous optical fiber through a generalized derivative nonlinear Schrödinger equation with quintic nonlinearity
The current research investigates the behavior of femtosecond solitary waves in an inhomogeneous optical fiber using the generalized derivative...
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Novel topological, non-topological, and more solitons of the generalized cubic p-system describing isothermal flux
In fluid dynamics, mixed-type systems of conservation laws model a wide range of phase transition problems in compressible media. This analysis...
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Topological high-harmonic spectroscopy
Linearly polarized vector beams are structured lasers whose topology is characterized by a well-defined Poincaré index, which is a topological...
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Non-reciprocal topological solitons in active metamaterials
From protein motifs
1 to black holes2 , topological solitons are pervasive nonlinear excitations that are robust and can be driven by external fields3 ....
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Study of a class of fractional-order evolution hybrid differential equations using a modified Mittag-Leffler-type derivative
This work is devoted to using topological degree theory to establish a mathematical analysis for a class of fractional-order evolution hybrid...
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Thermal, mechanical and topological studies on single crystal of propyl-p-hydroxybenzoate
The presence of benzene ring in the compound makes benzoates excellent candidates for nonlinear optical applications. Single crystal of...
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Optimal feedback control for fractional evolution equations with nonlinear perturbation of the time-fractional derivative term
We study the optimal feedback control for fractional evolution equations with a nonlinear perturbation of the time-fractional derivative term...
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Application of Newton’s polynomial interpolation scheme for variable order fractional derivative with power-law kernel
This paper, offers a new method for simulating variable-order fractional differential operators with numerous types of fractional derivatives, such...
