In the present study, natural transform iterative method (NTIM) has been implemented for solution of a fractional Zakharavo–Kuznetsov (FZK) equation. NTIM is relatively new technique handling non-linear differential equations. The tested upon two FZK equalities. proposed compared with existing perturbation–iteration algorithm (PIA) and residual power series (RPSM). From numerical results, it cl...

The fauna of Tydeidae Western Siberia is reviewed. A total 27 species from eight genera were found in Tyumen and Kurgan Regions. Two species, Lorryia sibiriensis n. sp. L. speciosa are described as new for science; evansi Baker recorded Russia the first time redescribed based on materials Region; paravarsoviensis (Momen Lundqvist), subularoides Kaźmierski, arkadiensis Panou Emmanouel, argutus (...

We consider in this paper the rigorous justification of the ZakharovKuznetsov equation from the Euler-Poisson system for uniformly magnetized plasmas. We first provide a proof of the local well-posedness of the Cauchy problem for the aforementioned system in dimensions two and three. Then we prove that the long-wave small-amplitude limit is described by the ZakharovKuznetsov equation. This is d...

Comme l’ecrivent les A. en introduction, la decouverte d’un fragment d’inscription cuneiforme vieux perse dans ruines de cite grecque Phanagoria constitue une majeure qui merite etude et analyse approfondie du contexte historique. Cet article s’ouvre par transcription proposition traduction cette inscription different quelques points detail celle proposee V. D. Kuznetsov A. B. Nikitin (Vladimir...

In this paper, we consider the Cauchy problem of a model in nonlinear acoustic, named Jordan–Moore–Gibson–Thompson equation. This equation arises as an alternative to well-known Kuznetsov acoustics. We prove global existence and optimal time decay solutions Besov spaces with minimal regularity assumption on initial data, lowering required Racke Said-Houari (Commun Contemp Math. 1–39, 2019. http...

The nonlinear progressive wave equation (NPE) [McDonald and Kuperman, J. Acoust. Soc. Am. 81, 1406-1417 (1987)] is expressed in a form to accommodate changes in the ambient atmospheric density, pressure, and sound speed as the time-stepping computational window moves along a path possibly traversing significant altitude differences (in pressure scale heights). The modification is accomplished b...

The measurement of the acoustic pressure of a planar ultrasonic wave by light diffraction is well established. The ability to do similar measurements in the case of spherical waves has been doubted However, we show that the range of validity can be extended to the focal region of a spherical concave piezoelectric transducer. Light is passed through the focal plane of a spherical concave transdu...

This article discusses a limiting behavior of breather solutions the focusing nonlinear Schrödinger equation. These breathers belong to family solitons on non-vanishing and constant background, where continuous-wave envelope serves as pedestal. The rational Peregrine soliton acts other two solitons, i.e., Kuznetsov-Ma Akhmediev soliton. Albeit with phase shift, latter becomes extension homoclin...

In this paper, we investigate the smooth positon and breather-positon solutions of generalized integrable discrete nonlinear Schrödinger (NLS) equation by degenerate Darboux transformation (DT). Starting from zero seed solution, Nth-order are obtained DT. The breather including Akhmediev breather, Kuznetsov-Ma space-time periodic derived nonzero solution. Then constructed gradual Taylor series ...