2019arXiv (Cornell University)Open access

A new Painleve-integrable equation possessing KdV-type solitons

Sergei Sakovich

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Abstract

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.

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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.

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Available abstract

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

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