Integrable systems: From the inverse spectral transform to zero curvature condition

2020/12/07 by Khan, Basir Ahamed, Chatterjee, Supriya, Sekh, Golam Ali +1
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences

paper · doi:10.48550/arxiv.2012.03456

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.

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