Some Cnoidal Wave Solutions of Some Non-Linear Equations in One and Two Dimension

摘要

We have obtained, following Hirota's direct approach, some cnoidal wave solutions of some new non-linear equations in one and two dimensions. In the course of our calculation we have also extended the method for application to non-linear equations of higher order, where auxiliary independent variables are to be introduced for converting it into Hirota's framework. Lastly, solutions of some equations are obtained for which still now no inverse scattering is known to exist. (Atomindex citation 15:060251)