Nonlinear evolution wave equations (NEEs) are partial differential equations (PDEs) involving first or second order derivatives with respect to time. Such equations have been intensively studied for the past few decades [1-3] and several new methods to solve nonlinear PDEs either numerically or analytically are now available. Hirota's bilinear method is a powerful tool for obtaining a wide clas...

This paper is long overdue. The most of the results presented here were obtained in 1986-87. Just a small portion of them (the equations for dynamics of the pair of counter-rotating vortices and their self-similar solutions) were published in time in 1988 [1]. The publication was very brief and did not include any details of the calculations. Nevertheless, it was noticed and then generously cit...

The paper studies a unit cell mismatch scrambling method for high-resolution unary DAC based on virtual 3-dimensional (3D) layout, to improve its spurious-free dynamic range (SFDR) communication applications. This can be implemented with relatively simple interconnections and circuits, compared that the 2-dimentional (2D) layout.

Dielectric responces of the one-dimentional electron system is investigated numerically. We treat an interacting one-dimentional spinless fermion model with disorder by using the Density Matrix Renormalization Group(DMRG) method which is extended for nonuniform systems. We apply an electric field E to the system and calculate dielectric responces. Dielectric responce of the Mott insulator and t...

Membrane fouling is the bottleneck that restricts the sustainability of membrane technology for environmental applications. Therefore, the development of novel analytical tools for characterizing membrane fouling processes is essential. In this work, we demonstrate a capability of probing the chemical structure of foulants and detecting their 3-dimentional spatial distribution on membranes base...

In this paper, we propose a new genetic algorithm based on the two-dimensional encoding method. Appropriate two-dimensional crossover and mutation operations are designed based on the two-dimensional representation to generate the next generations. A twodimensional repairing mechanism is also proposed to adjust infeasible chromosomes into feasible ones. Experiments are finally made to show the ...

In the previous chapter the work is done using one dimensional Poisson’s equation. The work is extended in order to develop better understanding aspects of the submicronic device to be used as PD. The chapter starts with discussion on the existing theoretical models and their limitations which stimulate to propose the new physics based 2D model. The chapter is divided into four sections. Sectio...