In this article, some fresh solitary and periodic solutions of the Gardner equation have been explored with free parameters via the Exp -function method. The solutions are presented in terms of hyperbolic and trigonometric functions. The solutions and are revealed in figures. The symbolic computation software, such as, Maple 13, make the solution procedure straightforward and concise. AMS subje...

It is now well known that the focussing nonlinear Schrödinger equation allows plane waves to be modulationally unstable, and at the same time supports breather solutions which are often invoked as models for rogue waves. This suggests a direct connection between modulation instability and the existence of rogue waves. In this chapter we review this connection for a suite of long wave models, su...

A 24-year-old man presented with a palpable mass in the deep superonasal quadrant of the left orbit which had been present for one year. He had no visual complaints, yet noted multiple hard masses at the right and left mandibular angles. The patient had history of a similar mass in his right orbit which had prompted surgical intervention 2 years earlier. Histopathological evaluation of the righ...