Adjoint solutions and superposition principle for linearizable Krichever-Novikov equation

• 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
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

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...