The Harry Dym equation, which is related to the classical string problem, is derived in three different ways. An implicit cusp solitary-wave solution is constructed via a simple direct method. The existing connections between the Harry Dym and the Kortwegde Vries equations are uniformised and simplified, and transformations between their respective solutions are carried out explicitly. Whenever...

In this paper, the modified exp-function method is used to seek generalized wave solutions of Klein-Gordon equation. As a result, some new types of exact traveling wave solutions are obtained which include kink wave solutions, periodic wave solution, and solitary wave solutions. Obtained results clearly indicate the reliability and efficiency of the proposed modified exp-function method.

A cascade algorithm for solitary-wave solutions to the Benjamin equation is conctructed, implemented and analyzed both numerically and theoretically. The major advantages over the existing homotopy algorithm are its simplicity, eeciency, generality, and the many properties it reveals about the exact solution, whose closed form is out of our reach.

A set of traveling wave solution to convection-reaction-diffusion equation is studied by means of methods of local nonlinear analysis and numerical simulation. It is shown the existence of compactly supported solutions as well as solitary waves within this family for wide range of parameter values. PACS codes: 02.30.Jr; 47.50.Cd; 83.10.Gr

Numerical experiments involving the interaction of two solitary waves of the ion acoustic plasma equations are described. An exact 2-soliton solution of the relevant KdV equation was fitted to the initial data, and good agreement was maintained throughout the entire interaction. The data demonstrates that the soliton interactions are virtually elastic. AMS (MOS) Subject Classifications: 35Q51, ...

Patellofemoral (PF) osteoarthritis (OA) is a somewhat predominant illness, affecting up to 24% of women and 11% ofmen over the age of 55 years who suffer from symptomatic knee OA. The purposes of this narrative overview are tosummarize the present situation of patellofemoral arthroplasty (PFA) in the treatment of solitary PF-OA, and to givean account of the clinical results of...