A new Painleve-integrable equation possessing KdV-type solitons

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.

7 pages, 1 figure

References in corpus (1)

• Singularity analysis of a spherical Kadomtsev-Petviashvili equation

Cited by in corpus (2)

• On integrability of a third-order complex nonlinear wave equation
• Integrability of one bilinear equation: singularity analysis and dimension