On classification of high-order integrable nonlinear partial differential equations

Il’in, I.A., D.S. Noshchenko and A.S. Perezhogin

Chaos, Solitons & Fractals, 2015, vol. 76, issue C, 278-281

Abstract: In this study we investigate the existence of soliton solutions for partial differential equations with polynomial nonlinearities. We obtain a classification of high-order integrable systems with two-soliton solution, using the τ-function method. Hierarchies of these equations are represented.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:76:y:2015:i:c:p:278-281

DOI: 10.1016/j.chaos.2015.04.004

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