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


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 linearizing 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.

SUBMITTER: Fu W 

PROVIDER: S-EPMC5549564 | biostudies-literature | 2017 Jul

REPOSITORIES: biostudies-literature

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

Fu Wei W   Nijhoff Frank W FW  

Proceedings. Mathematical, physical, and engineering sciences 20170712 2203


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 linearizing 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. ...[more]

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