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Linearizability for third order evolution equations
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
Istanbul Technical University, Turkey.
2017 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 58, no 8, 081507Article in journal (Refereed) Published
Abstract [en]

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 is also reviewed in this framework. Published by AIP Publishing.

Place, publisher, year, edition, pages
AMER INST PHYSICS , 2017. Vol. 58, no 8, 081507
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:liu:diva-141132DOI: 10.1063/1.4997558ISI: 000409197200008OAI: oai:DiVA.org:liu-141132DiVA: diva2:1144751
Available from: 2017-09-27 Created: 2017-09-27 Last updated: 2017-09-27

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