Linearizability for third order evolution equations
Exactly Solvable and Integrable Systems
2017-09-20 v2 Mathematical Physics
math.MP
Abstract
The problem of linearization for third order evolution equations is considered. Criteria for testing equations for linearity are presented. A class of linearizable equations depending on arbitrary functions is obtained by requiring presence of an infinite-dimensional symmetry group. Linearizing transformations for this class are found using symmetry structure and local conservation laws. A number of special cases as examples are discussed. Their transformation to equations within the same class by differential substitutions and connection with KdV and mKdV equations are also reviewed in this framework.
Cite
@article{arxiv.1612.01111,
title = {Linearizability for third order evolution equations},
author = {P. Basarab-Horwath and F. Güngör},
journal= {arXiv preprint arXiv:1612.01111},
year = {2017}
}
Comments
18 pages