Effective Estimation of Trapping/Stability Regions and Bilateral Solutions’ Bounds for Some Multidimensional Nonlinear Systems with Time-Varying Coefficients
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DOI: 10.1007/s00332-024-10013-x
Abstract: Assessment of the stability/boundedness of solutions to nonlinear systems with variable coefficients brings long-standing and challenging problems which emerge in various application domains. These problems naturally evolved into more arduous and largely open problems concerned… read more here.
Keywords: multidimensional nonlinear; nonlinear systems; stability; trapping stability ... See more keywords
Reconstruction of multidimensional nonlinear polarization response of Pancharatnam-Berry metasurfaces
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DOI: 10.1103/physrevb.104.054303
Abstract: Pancharatnam-Berry (PB) metasurfaces have been considered as innovative optical devices for efficient manipulation of both the phase and the polarization of the electromagnetic field. Here, we present the simultaneous generation of circularly, elliptically, and linearly… read more here.
Keywords: polarization; berry metasurfaces; reconstruction multidimensional; nonlinear polarization ... See more keywords
On the Symmetries and Conservation Laws of the Multidimensional Nonlinear Damped Wave Equations
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DOI: 10.1155/2017/9401205
Abstract: We carry out a classification of Lie symmetries for the ()-dimensional nonlinear damped wave equation with variable damping. Similarity reductions of the equation are performed using the admitted Lie symmetries of the equation and some… read more here.
Keywords: nonlinear damped; symmetries conservation; laws multidimensional; multidimensional nonlinear ... See more keywords