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arXiv · 1612.04711

Direct linearising transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations

Wei Fu·Frank Nijhoff
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Abstract

A unified framework is presented for the solution structure of three-dimensional discrete integrable systems, including the lattice AKP, BKP and CKP equations. This is done through the so-called direct linearising transform which establishes a general class of integral transforms between solutions. As a particular application, novel soliton-type solutions for the lattice CKP equation are obtained.

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Wei Fu, Frank Nijhoff. 2017-06-28. Direct linearising transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations. https://doi.org/10.1098/rspa.2016.0915

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