Background and Objective: Neurofibromas occur as solitary and multiple forms. The solitary ones are extraneural and more common, histologically exhibiting spindle cells with wavy nuclei, scattered among collagen fibers. Multiple neurofibromas are seen in neurofibromatosis (types I and II), including intr...

Angiotensin II (Ang II) has been proposed to be an endogenous neuromodulator of the baroreceptor reflex at the level of the brain stem solitary-vagal area. Elevated activity of the brain Ang II system has been implicated in the development and maintenance of hypertension in spontaneously hypertensive rats and deoxycorticosterone acetate-salt hypertensive rats. In the present study, we sought to...

In the present article, a numerical method is proposed for the numerical solution of the KdV equation by using a new approach by combining cubic B-spline functions. In this paper we convert the KdV equation to system of two equations. The method is shown to be unconditionally stable using von-Neumann technique. To test accuracy the error norms L2, L∞ are computed. Three invariants of motion are...

The general solution is found to a bilinear reduction of the higher order nonlinear Schrödinger equation. Except for the previously known special cases having multisoliton solutions, the solution has the form of a single envelope solitary wave or wave train for all other values of the parameters. We conjecture that the generic solution is limited to such a narrow class of functions because the ...

We present a numerical study of solitary waves in one dimensional (1D) granular lattices. Our system consists of an array of deformable spheres which we model using Hertzian interactions between neighbouring bodies. A general discussion of the origin of solitary waves is presented. We then provide an analysis of the Hertz force. For the case of a uniform chain of spheres, we derive an approxima...

The solitary water wave problem is to find steady free surface waves which approach a constant level of depth in the far field. The main result is the existence of a family of exact solitarywaves of small amplitude for an arbitrary vorticity. Each solution has a supercritical parameter value and decays exponentially at infinity. The proof is based on a generalized implicit function theorem of t...

We use a spectral method to solve numerically two nonlocal, nonlinear, dispersive, integrable wave equations, the Benjamin-Ono and the Intermediate Long Wave equations. The proposed numerical method is able to capture well the dynamics of the solutions; we use it to investigate the behaviour of solitary wave solutions of the equations with special attention to those, among the properties usuall...

The global attraction is established for all finite energy solutions to a model U(1)-invariant nonlinear Klein-Gordon equation in one dimension coupled to a finite number of nonlinear oscillators: We prove that each finite energy solution converges as t → ±∞ to the set of all “nonlinear eigenfunctions” of the form φ(x)e−iωt if all oscillators are strictly nonlinear, and the distances between al...