Contribution of inflection points to waves

Wave phenomena around inflection points are studied from a new point of vie w in order to co-ordinate inflective shapes analytically. Inflective co-ord inate systems are used to compute the exact solutions. The differential equ ations obtained using these recently introduced co-ordinate systems are sol ved by extending the usual separation method. These extensions lead to the development of special functions and series, and the achieved results give an exact physical meaning to the inflection points. In addition, electromag netic waves are characterised around an inflection point.