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arXiv · 2012.03456

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

Basir Ahamed Khan·Supriya Chatterjee·Golam Ali Sekh·Benoy Talukdar
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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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Basir Ahamed Khan, Supriya Chatterjee, Golam Ali Sekh, Benoy Talukdar. 2020-12-07. Integrable systems: From the inverse spectral transform to zero curvature condition. https://arxiv.org/abs/2012.03456

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