The numerical simulation of colliding solitary waves with compact support arising from the Rosenau-Hyman K(n,n) equation requires the addition of artificial dissipation for stability. The price to pay is the appearance of trailing tails, amplitude damping, and delays as the solution evolves. These undesirable effects can be corrected by properly counterbalancing two sources of artificial dissip...

We review some recent results on how PT -symmetry, that is a simultaneous time-reversal and parity transformation, can be used to construct new integrable models. Some complex valued multi-particle systems, such as deformations of the CalogeroMoser-Sutherland models, are shown to arise naturally from real valued field equations of non-linear integrable systems. Deformations of complex non-linea...

The extended homogeneous balance method is used to construct exact traveling wave solutions of the Maccari system, in which the homogeneous balance method is applied to solve the Riccati equation and the reduced nonlinear ordinary differential equation. Many exact traveling wave solutions of the Maccari system equation are successfully obtained.

We show the existence of self-dual (topological) solitons in a gauged version baby Skyrme model which Born-Infeld term governs gauge field dynamics. The successful implementation Bogomol'nyi-Prasad-Sommerfield formalism provides lower bound for energy and respective equations whose solutions are saturating such limit. (Bogomol'nyi bound) is proportional to topological charge therefore quantized...

This paper outlines the implementation of variational iteration method (VIM) for finding new solitary solutions for nonlinear dispersive K (p, q) equations. Numerical results coupled with the graphical represnation explicitly reveal the accuracy, simplicity and efficiency of the proposed algorithm.

Flower-like ZnO nanostructures were synthesized by decomposing Zn(OH)2 in 1,4- butanediol at 105 °C for 36 h. Size of flower-like ZnO nanostructure can be controlled by pH of the aqueous solution. In the preparation of flower-like ZnO nanostructure, zinc nitrate was used as a precursor. The morphology and microstructure of flower-like ZnO nanostructure have been characterized by scanning electr...