in-vitro labeling of rbc with 99mtc is an intricate procedure and there is always a need foran alternate blood pool imaging agent. the aim of this study was to prepare an effective nanosized liposome (nls) similar to human rbc for blood pool scintigraphy. this study formulatespeg-nls and non-peg-nls using film method plus high pressure homogenization technique.biodistribution studies were perfo...

A statistical model of self-organization in a generic class of one-dimensional nonlinear Schrödinger (NLS) equations on a bounded interval is developed. The main prediction of this model is that the statistically preferred state for such equations consists of a deterministic coherent structure coupled with fine-scale, random fluctuations, or radiation. The model is derived from equilibrium stat...

In this article, dissipative perturbations of the nonlinear Schrr odinger equation (NLS) are considered. For dissipative equations, when determining the stability of a solitary wave, one must locate both the point spectrum and the continuous spectrum. If the wave is to be stable, all the spectrum must reside in the left-half plane, except for the translational eigenvalue(s) at the origin. Howev...

We find new periodic solutions of the Kadomtsev-Petviashvili (KP) equation, the nonlinear Schrödinger (NLS) equation, the λφ4 model, the sine-Gordon equation and the Boussinesq equation by making appropriate linear superpositions of known periodic solutions. This unusual procedure for generating solutions of nonlinear differential equations is successful as a consequence of some powerful, recen...

The nonlinear coupling of two scalar nonlinear Schrr odinger (NLS) elds results in non-focusing instabilities that exist independently of the well-known modulational instability of the focusing NLS equation. The focusing versus defocusing behavior of scalar NLS elds is a well-known model for the corresponding behavior of pulse transmission in optical bers in the anomalous (focusing) versus norm...

We investigate the nonlinear stage of the modulational (or Benjamin–Feir) instability by characterizing the initial value problem for the focusing nonlinear Schrödinger (NLS) equation with nonzero boundary conditions (NZBC) at infinity. We do so using the recently formulated inverse scattering transform (IST) for this problem. While the linearization of the NLS equation ceases to be valid when ...

We prove an infinite dimensional version of the Arnold-Liouville theorem for integrable non-linear PDEs: In a case study we consider {\em focusing} NLS equation with periodic boundary conditions.

Based on the higher-order restricted flows, first type of integrable deformed fourth-order matrix NLS equations, that is, equations with self-consistent sources (FMNLSSCS), is derived. By virtue $${\bar{\partial }}$$ -dressing method, second called NLS–Maxwell–Bloch system (FMNLS-MB) presented. We prove equivalence FMNLSSCS and FMNLS-MB successfully. Furthermore, N-soliton solutions are explici...

Soliton perturbation theory is used to determine the evolution of a solitary wave described by a perturbed nonlinear Schrödinger equation. Perturbation terms, which model wide classes of physically relevant perturbations, are considered. An analytical solution is found for the first-order correction of the evolving solitary wave. This solution for the solitary wave tail is in integral form and ...