introduction plasma cell dyscrasias are characterized by a monoclonal neoplastic proliferation of plasma cells. solitary bone plasmacytoma (sbp) is a local form of the disease with the vertebrae and long bones being the most frequently encountered sites. its prevalence in the maxillofacial area is extremely rare. case presentation a 70-year-old caucasian male patient was referred for the extrac...

In this paper, a closed form optical soliton solution is obtained for the nonlinear Schrödinger’s equation with fourth order dispersion in a Kerr law media. The solitary wave ansatze is used to carry out the integration of this equation. Finally, a numerical simulation is given for the closed form soliton solution. Mathematics Subject Classification: 35Q51, 35Q53, 37K10, 78A60 PACS Codes: 02.30...

An alternative type of nonlinear evolution equation is derived that describes interfacial waves in a two-layer fiuid system. The equation presented here is a higher-order version of the Benjamin-Ono (BO) equation. A solitary-wave solution of the equation is obtained by means of a singular perturbation method. The characteristics of the solution are discussed in comparison with those for a highe...

The strongly nonlinear long-wave model for large amplitude internal waves in a two-layer system is regularized to eliminate shear instability due to the wave-induced velocity jump across the interface. The model is written in terms of the horizontal velocities evaluated at the top and bottom boundaries instead of the depth-averaged velocities, and it is shown through local stability analysis th...

We generalize the nonlinear one-dimensional equation for a fluid layer surface to any geometry and we introduce a new infinite order differential equation for its traveling solitary waves solutions. This equation can be written as a finite-difference expression, with a general solution that is a power series expansion with coefficients satisfying a nonlinear recursion relation. In the limit of ...