| Abstract [eng] |
In the scientific work are investigating the equations, known as the Korteweg de Vries (KdV) equations. According to the physical meaning of these equations it is a versatile, for example they describe soliton - running wave. There are many other physical meanings of KdV equations. The equations are differential equations, by the partial derivatives, non-permanently. Different KdV equations are quite a few. In research work is performed mainly fundamental equations analysis without the link with a specific physical sense. The solutions of differential equations of KdV got in nineteenth century. Equations are examined by the fundamental math methods, programming, math software packages Maple and Matlab. The importance of the study is significant. Studied equation to determine the number of changes without the physical meaning of equations. However, if this equation describes some kind of physical phenomenon, the results and methods can be applied to a physical phenomenon specific to research, design, development, predict. So - study the wording of the research objectives and the mathematical - Basic research already carried out, it can easily be adapted to a particular adaptive or a physical phenomenon to study and predict. The research have been done with the complex numbers of parameters. |
