Solvable Nonlinear Evolution PDEs in Multidimensional Space

Details Solvable Nonlinear Evolution PDEs in Multidimensional Space Solvable Nonlinear Evolution PDEs in Multidimensional Space

2006-12-10

arxiv.org/abs/nlin/0612019v2

SIGMA 2 (2006), 088, 17 pages

Nonlinear Sciences

Exactly Solvable and Integrable Systems

This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Sym

Scientific paper

10.3842/SIGMA.2006.088

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

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