Adjoint solutions and superposition principle for linearizable Krichever-Novikov equation

Existence of an operator equality for equations connected by nonlocal transformations allowed us to propose a method of finding of a new solution of the initial equation adjoint to its known solution. This approach is used for construction of exact solutions for the linearizable Krichever-Novikov eq...

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Bibliographic Details
Date:2019
Author Affiliations:
  • V. Tychynin — Prydniprovs’ka State Academy of Civil Engineering and Architecture
Keywords:keywords
Main Authors: Tychynin, V., Тичинін, В.
Format: Article
Language:English
Published: Інститут математики НАН України 2019
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/375
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine