Solvable Nonlinear Evolution PDEs in Multidimensional Space

Abstract

A class of solvable (systems of) nonlinear evolution PDEs in multidimensional space is discussed. We focus on a rotation-invariant system of PDEs of Schrödinger type and on a relativistically-invariant system of PDEs of Klein-Gordon type. Isochronous variants of these evolution PDEs are also considered.

Keywords

• nonlinear evolution PDEs in multidimensions
• solvable PDEs
• NLS-like equations
• nonlinear Klein-Gordon-like equations
• isochronicity