Integrable systems: From the inverse spectral transform to zero curvature condition
Exactly Solvable and Integrable Systems
2020-12-08 v1
Abstract
This \textquoteleft research-survey' is meant for beginners in the studies of integrable systems. Here we outline some analytical methods for dealing with a class of nonlinear partial differential equations. We pay special attention to \textquoteleft inverse spectral transform', \textquoteleft Lax pair representation', and \textquoteleft zero-curvature condition' as applied to these equations. We provide a number of interesting examples to gain some physico-mathematical feeling for the methods presented.
Cite
@article{arxiv.2012.03456,
title = {Integrable systems: From the inverse spectral transform to zero curvature condition},
author = {Basir Ahamed Khan and Supriya Chatterjee and Golam Ali Sekh and Benoy Talukdar},
journal= {arXiv preprint arXiv:2012.03456},
year = {2020}
}
Comments
13 pages, 11 figures