We introduce domain-wall (DW) states in the bimodal discrete nonlinear Schrödinger equation, in which the modes are coupled by cross-phase modulation (XPM). The results apply to an array of nonlinear optical waveguides carrying two different polarizations of light, or two different wavelengths, with anomalous intrinsic diffraction controlled by direction of the light beam, and to a string of dr...

In this paper we use the second order equation dq dt + (λ − γq2) dt − q + q = μq sinωt as a demonstrative example to illustrate how to apply the analysis of [WO] and [WOk] to the studies of concrete equations. We prove, among many other things, that there are positive measure sets of parameters (λ, γ, μ, ω) corresponding to the case of intersected (See Fig. 1(a)) and the case of separated (See ...

We consider the dynamical stability of a class of static, spherically-symmetric solutions of the nonsymmetric gravitational theory. We numerically reproduce the Wyman solution and generate new solutions for the case where the theory has a nontrivial fundamental length scale μ. By considering spherically symmetric perturbations of these solutions we show that the Wyman solutions are generically ...

c-reactive protein (crp) response was studied in 44 patients with acute angina pectoris admitted to the coronary care unit. 71 % of patients with acute myocardial infarction (mi)had positive crp test while 73% of patients presumed to have unstable angina pectoris had negative crp test. this test can be helpful in differentiating between acute mi and unstable angina pectoris.

Hackers worldwide agree that unstable communication are an interesting new topic in the field of signed algorithms, and physicists concur. After years of structured research into flipflop gates, we prove the synthesis of RAID, which embodies the intuitive principles of artificial intelligence. FERWET, our new system for event-driven archetypes, is the solution to all of these challenges.

We consider the corrugation instability of the self–similar flow with an accelerating shock in the highly relativistic regime. We derive the correct dispersion relation for the proper modes in the self–similar regime, and conclude that this solution is unstable. Subject headings: hydrodynamics – shock waves – self-similar solutions

The structural evolution of ubiquitin after transfer into the gas phase was studied by electron capture dissociation. Site-specific fragment yields show that ubiquitin's solution fold is overall unstable in the gas phase, but unfolding caused by loss of solvent is slowest in regions stabilized by salt bridges.

We examine the local convergence of the Levenberg–Marquardt method for the solution of nonlinear least squares problems that are rank-deficient and have nonzero residual. We show that replacing the Jacobian by a truncated singular value decomposition can be numerically unstable. We recommend instead the use of subset selection. We corroborate our recommendations by perturbation analyses and num...