The supercomplexification is a special method of N = 2 supersymmetrization the integrable equations in which bosonic sector can be reduced to complex version these equations. ...

With the advantages of fast calculating speed and high precision, physics-informed neural network method opens up a new approach for numerically solving nonlinear partial differential equations. Based on conserved quantities, we devise two-stage PINN which is tailored to nature equations by introducing features physical systems into networks. Its remarkable advantage lies in that it can impose ...

Over t h e frequency range between 107 cis an d 1010 cis, r adio seein g is controll ed by t he distortions in t he phase of the waves propagating t hrough the eart h 's 'ttmo~ph el' e. For elevation angles above two degrees, t he dorn inant effect is refraction at l 00 j\[c/s, Lhe lolal bending o f abo ut one and one-half degr ees is d ivided equa ll ,v between t il(' t ropospher e and ionosph...

S. E. Miller, “Coupled wave theory and waveguide applications, ” Bell Syst. Tech. J., vol. 33, pp. 661-720, May 1954. S. A. Schelkunoff, “Conversion of Maxwell’s equations into generalized telegraphist’s equations, ” Bell Syst. Tech. J., vol. 34, pp. 995-1043, Sept. 1955. W. H. Louisell, Coupled Mode and Parametric Electronics. New York: Wiley, 1960. S. E. Miller, “ Waveguide as a communication...

Here, it is proposed that if dark energy behaves like a perfect fluid as well as Chaplygin gas simultaneously, Big Rip or Big Smash type situation, for the future universe, can be avoided for equation of state w < −1. Experimental probes, during last few years suggest that the present universe is spatially flat as well as it is dominated by yet unknown form of dark energy [1,2]. Moreover, studi...

The mot iva t ion for this research comes from several studies ~ 3) on the influence of bounda r i e s upon the behav ior of a par t ic le swarm, i.e., of a dilute popu l a t i on of charged par t ic les diffusing th rough a neut ra l host gas under the influence of a dc space-uni form electric field E (see also, for example , the reviews in refs. 4 and 5). When ion iza t ion and r ecombina t i...

Joint estimation of unknown model parameters and unobserved state componentsfor stochastic, nonlinear dynamic systems is customarily pursued via the extendedKalman filter (EKF). However, in the presence of severe nonlinearities in the equa-tions governing system evolution, the EKF can become unstable and accuracy ofthe estimates gets poor. To improve the results, in this paper w...

The problem of simultaneous reduction of real matrices by either orthogo nal similarity or orthogonal equivalence transformations is considered Based on the Jacobi idea of minimizing the sum of squares of the complementary part of the desired form to which matrices are reduced the projected gradi ent method is used in this paper It is shown that the projected gradient of the objective function ...

E. Abouzaid, M. Arenton, A.R. Barker, ∗ L. Bellantoni, E. Blucher, G.J. Bock, E. Cheu, R. Coleman, M.D. Corcoran, B. Cox, A.R. Erwin, C.O. Escobar, A. Glazov, A. Golossanov, R.A. Gomes, P. Gouffon, Y.B. Hsiung, D.A. Jensen, R. Kessler, K. Kotera, A. Ledovskoy, P.L. McBride, E. Monnier, † H. Nguyen, R. Niclasen, D.G. Phillips II, E.J. Ramberg, R.E. Ray, M. Ronquest, E. Santos, W. Slater, D. Smit...