Study of n 1 and n 2 supersymmetric integrable hierarchies and their soliton solutions

Abstract

Integrable models have seen major advances in the last four decades bringing together various branches of mathematics and having diverse physical applications Of great interest is the realization that integrable systems give rise to nondispersive localized travelling wave solutions called solitons The task of constructing such solutions have resulted in the development of many different techniques to solve these systems which are non linear partial differential equations and difficult to so