Abstract The Whitham modulation equations for the defocusing nonlinear Schrödinger (NLS) equation in two, three and higher spatial dimensions are derived using a two-phase ansatz periodic traveling wave solutions by period-averaging conservation laws of NLS equation. resulting written vector form, which allows one to show that they preserve rotational invariance equation, as well with respect s...

Since the identification over 10 years ago of the sequence responsible for the nuclear localization of the simian virus 40 (SV40) large tumour antigen (T-ag) and the demonstration of its ability to target heterologous, normally non-nuclear, proteins to the nucleus, research in the field of nuclear transport has largely revolved around the idea of nuclear localization signals (NLSs) being exclus...

This report contributes to the solution of non-negative least squares problem (NLS). The NLS problem is a substantial part of a learning procedure of associative networks. First, stopping conditions suitable for iterative numerical algorithms solving the NLS problem are derived. The conditions allow to control the solution found in terms of optimized objective function. Second, a novel sequenti...

We consider periodic traveling wave solutions to the focusing nonlinear Schrödinger equation (NLS) that have been shown to persist when the NLS is perturbed to the complex Ginzburg-Landau equation (CGL). In particular, we show that these periodic traveling waves are spectrally stable solutions of NLS with respect to periodic perturbations. Furthermore, we use an argument based on the Fredholm a...

In this paper, rogue wave solutions of a sixth-order focusing nonlinear Schrödinger (NLS) equation with variable coefficients are investigated on periodic background. To get the results, we take advantage Darboux transformation approach and nonlinearization spectral problem firstly find one kind solution that evolves periodically time spatial Besides, also dissipates over time. Modulation insta...

Three nuclear localization signals (NLS), including an unusual Mat alpha 2-like NLS from maize (Zea mays) R, were found to compete for binding to plant nuclei. In addition, the authentic yeast Mat alpha 2 NLS, which does not function in mammals, was shown to function in plants in vivo. Our results indicate that plants possess a site at the nuclear pore complex that recognizes the three known cl...

In this paper, a general bright-dark soliton solution in the form of Pfaffian is constructed for an integrable semi-discrete vector NLS equation via Hirota’s bilinear method. Oneand two-bright-dark soliton solutions are explicitly presented for two-component semidiscrete NLS equation; two-bright-one-dark, and one-bright-two-dark soliton solutions are also given explicitly for three-component se...

UNLABELLED Our objective was to evaluate the toxicity of the anti-CD33 monoclonal antibody HuM195 modified with peptides (CGYGPKKKRKVGG) harboring the nuclear localizing sequence (NLS; underlined) of simian virus 40 large T antigen and labeled with (111)In against acute myeloid leukemia (AML) cells. METHODS HuM195 was derivatized with sulfosuccinimidyl-4-(N-maleimidomethyl)-cyclohexane-1-carb...

Nuclear proteins typically contain short stretches of basic amino acids (nuclear localization sequences; NLSs) that bind karyopherin α family members, directing nuclear import. Here, we identify CTNNBL1 (catenin-β-like 1), an armadillo motif-containing nuclear protein that exhibits no detectable primary sequence homology to karyopherin α, as a novel, selective NLS-binding protein. CTNNBL1 (a si...

BACKGROUND Research into the relation of literacy to health status has not included measures of nutritional literacy. This may be a critical area in the study of chronic conditions such as hypertension and diabetes, which can both relate to obesity and nutrition. This paper details the development and psychometric characteristics of the Nutritional Literacy Scale (NLS), offered as a measure of ...