Laplace type invariants for variable coefficient mKdV equations

7th International Workshop: Group Analysis of Differential Equations and Integrable Systems

Tsaousi, Christina^1 ; Tracinà, Rita^2 ; Sophocleous, Christodoulos^1

Department of Mathematics and Statistics, University of Cyprus, Nicosia

CY 1678, Cyprus^1

Dipartimento di Matematica e Informatica, Viale A. Doria 6, Catania

95125, Italy^2

关键词: Differential invariants;    Equivalence transformations;    MkDv equation;    Type invariants;    Variable coefficients;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/621/1/012015/pdf
DOI  :  10.1088/1742-6596/621/1/012015

来源: IOP

【 摘 要 】

We consider a class of variable-coefficient mKdV equations. We derive the equivalence transformations in the infinitesimal form and we employ them to construct differential invariants of the respective equivalence algebra. Operators of invariant differentiation are also constructed. Applications, similar to Laplace invariants, are presented.