Open problems for the superKdV equations
Pierre Mathieu
TL;DR
This paper reviews supersymmetric extensions of the Korteweg-de Vries equation, focusing on N=1 and N=2 cases, and discusses open problems related to N=2 extensions using superspace techniques.
Contribution
It provides a pedagogical overview of superspace methods and highlights unresolved issues in the study of N=2 superKdV equations.
Findings
Summary of basic results on N=1,2 superKdV equations
Identification of open problems in N=2 extensions
Discussion of superspace techniques
Abstract
After a review of the basic results concerning the supersymmetric extensions of the Korteweg-de Vries equation, with a pedagogical presentation of the superspace techniques, we discuss some basic open problems mainly in relation with the N=2 extensions.
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Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Advanced Topics in Algebra