A new Painleve-integrable equation possessing KdV-type solitons
Sergei Sakovich
Abstract
Open-access reader
Sergei Sakovich
Abstract
Open-access reader
A new three-dimensional second-order nonlinear wave equation is introduced which passes the Painleve test for integrability and possesses KdV-type multisoliton solutions. Lax integrability of this equation remains unknown.
OpenAlex reports 11 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
A new three-dimensional second-order nonlinear wave equation is introduced which passes the Painleve test for integrability and possesses KdV-type multisoliton solutions. Lax integrability of this equation remains unknown.
Key concepts: Korteweg–de Vries equation, Integrable system, Type (biology), Mathematical physics, Mathematics, Physics, Mathematical analysis, Pure mathematics