This paper examines the generation and propagation of a Third order solitary water wave along the channel. First the Incompressible Smoothed Particle Hydrodynamics (ISPH) numerical method is described and the boundary condition handling method is presented. The numerical model is then used to simulate solitary wave propagation along the fixed depth channel. The numerical results are compared wi...

In this paper, we study a class of nonlinear Schrödinger equations (NLS) which admit families of small solitary wave solutions. We consider solutions which are small in the energy space H, and decompose them into solitary wave and dispersive wave components. The goal is to establish the asymptotic stability of the solitary wave and the asymptotic completeness of the dispersive wave. That is, we...

The primary functions of venoms from solitary and social wasps are different. Whereas most solitary wasps sting their prey to paralyze and preserve it, without killing, as the provisions for their progeny, social wasps usually sting to defend their colonies from vertebrate predators. Such distinctive venom properties of solitary and social wasps suggest that the main venom components are likely...

We examine the dynamics of two bright solitary waves with a negative nonlinear term. The observed repulsion between two solitary waves – when these are in an antisymmetric combination – is attributed to conservation laws. Slight breaking of parity, in combination with weak relaxation of energy, leads the two solitary waves to merge. The effective repulsion between solitary waves requires certai...

Solitons or solitary waves are large-amplitude excitations with finite spatial widths 15 which are found in certain nonlinear systems and which can propagate over long distances without changing their shapes. Solitary waves also have the property that, although they may interact strongly with other solitary waves, they emerge from the interaction intact. The first report of the observation of a...

In this article, we put a direct method to construct the rational solitary wave solutions for some nonlinear differential difference equations in mathematical physics which may be called the rational solitary wave difference method. We use the proposed method to construct the rational solitary exact solutions for some nonlinear differential difference equations via the lattice equation, the dis...

We consider the solitary wave solutions of a Korteweg-de Vries equation, where the coefficients in the equation vary with time over a certain region. When these coefficients vary rapidly compared with the solitary wave, then it is well-known that the solitary wave may fission into two or more solitary waves. On the other hand, when these coefficients vary slowly, the solitary wave deforms adiab...

abstract a solitary plasmacytoma of bone occurs in approximately 2-5% of patients with myeloma. the lesion mostly found in the axial skeleton and have infrequently been reported to arise in the hand, and usually occur in the distal phalanges. we report the interesting case of a 75-year-old man who developed a solitary lytic lesion of the thumb proximal phalanx. this lesion was explored through ...

eosinophilic granuloma is benign end of the spectrum of the langerhans cell histiocytosis (lch) which is characterized by solitary or multiple lesions in bones, skin, lung, lymph node etc. here, we present a case of a 13-year old boy with pain and swelling in the right parietal region of skull with no other complaint. a computerized tomography (ct) scan and subsequent fine needle aspiration cyt...

AIM To evaluate the long-term efficacy of interstitial laser photocoagulation (ILP) in solitary benign thyroid nodules. DESIGN AND METHODS A total of 78 euthyroid outpatients (45 participating in randomized trials) with a benign solitary solid and scintigraphically cold thyroid nodule causing local discomfort were assigned to ILP. ILP (using one laser fiber) was performed under continuous ult...