Psychophysical two-tone suppression and the growth of the (2f• --f2} and • --f•) distortion products were measured in four normal-hearing young adults using a forward-masking paradigm. The stimulus parameters investigated were: (1)f• = 750 and 3000 Hz; (2)f2/f• = 1.1 l, 1.26, and 1.41; (3) L• = 50, 65, 80, and 90 dB SPL; and (4) L2 -L• varied from -20 to + 20 dB in 10-dB increments. It appears ...

In this article, we investigate the summability of formal power series solutions in time inhomogeneous heat equation with a power-law nonlinearity degree two, and variable coefficients. particular, give necessary sufficient conditions for 1-summability given direction. These generalize ones linear by W. Balser M. Loday-Richaud 2009 article [5].

The Kronig-Penney model is used to study the effect of nonlinear interaction on the transmissive properties of both ordered and disordered chains. We found that nonlinearity can either localize or delocalize the electronic states in ordered systems depending on both its sign and strength but there exists a critical strength above which all states are localized. In the disordered case, however, ...

We study the effects produced by competition of two physical mechanisms of energy localization in inhomogeneous nonlinear systems. As an example, we analyze spatially localized modes supported by a nonlinear impurity in the generalized nonlinear Schrödinger equation and describe three types of nonlinear impurity modes, one- and two-hump symmetric localized modes and asymmetric localized modes, ...

We have developed a nonlinear differential effective dipole approximation ~NDEDA!, in an attempt to investigate the effective linear and third-order nonlinear susceptibility of composite media in which graded spherical inclusions with weak nonlinearity are randomly embedded in a linear host medium. Alternatively, based on a first-principles approach, we derived exactly the linear local field in...

We show that the solutions of nonlinear diffusion equations of the form ut = ∆Φ(u) appearing in filtration theory may present complicated asymptotics as t → ∞ whenever we alternate infinitely many times in a suitable manner the behavior of the nonlinearity Φ. Oscillatory behaviour is demonstrated for finite-mass solutions defined in the whole space when they are renormalized at each time t > 0 ...

Ming Song, Zhengrong Liu, Anjan Biswas Department of Mathematics, Shaoxing University Shaoxing 312000, China Department of Mathematics, Yuxi Normal University Yuxi 653100, China [email protected] Department of Mathematics, South China University of Technology Guangzhou 510640, China [email protected] Department of Mathematical Sciences, Delaware State University Dover, DE 19901-2277, USA D...

There are several nonlinear evolution equations (NLEEs) that appears in various areas of applied mathematics and theoretical physics [1–13]. These NLEEs are a key to the understanding of various physical phenomena that governs the world today. Some of these commonly studied NLEEs are the nonlinear Schrödinger’s equation (NLSE), Korteweg– de Vries (KdV) equation, sine–Gordon equation (SGE), just...