New singular wave solutions to the KdV‐Sawada‐Kotera‐Ramani equation by the modified simple equation method

Abstract

The singular solutions and some special solutions of the KdV‐Sawada‐Kotera‐Ramani equation which have been analyzed in detail with solution functions supplemented by the relevant 3‐dimensional presentations of them. In the paper, very large number of possible concrete solutions are presented and discussed, based on the very various choices of possible values of the integration constants existing in the general solution function forms of the relevant class of problems being investigated. The contents of the main chapters have been classified and represented in a more concise and informative manner by pointing out the most important characteristics of the relevant solution sub‐results related by the actually chosen sub‐system of the general system of coupled ordinary differential equations and this process motivated this very detailed study. Finally, this paper obtains the unusually widespread collection of all these relatively laborsome solutions' set which can promote the application of the equation.