Links between symmetry reduction and Hirota methods of the N=2 susy KdV\n equation

2011/04/04 by Laurent Delisle, Delisle, Laurent, Véronique Hussin +1 · 1 citation
Mathematics · Physics and Astronomy · #35Q51 #35Q53 #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Bilinear form #Bilinear interpolation #Dimensional reduction #FOS: Physical sciences #Formalism (music) #Geometry #Invariant (physics) #Korteweg–de Vries equation #Mathematical Physics (math-ph) #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Nonlinear system #Physics #Pure mathematics #Quantum mechanics #Reduction (mathematics) #Supersymmetry #Symmetry (geometry) #math-ph #math.MP #msc:35Q51 #msc:35Q53

paper · pdf · doi:10.48550/arxiv.1104.0590

published in arXiv (Cornell University) (Cornell University) · 17 pages, 9 figures

arxiv created 2011/04/04 · arxiv updated 2011/04/05

Abstract

We consider the resolution of the N=2 supersymmetric KdV equation with a=-2\n(SKdV_a=-2) from two approaches, the group invariant method (or symmetry\nreduction) and the Hirota formalism. A bilinear form of the SKdV_a=-2\nequation is constructed. Links between the two methods are established and new\nsolutions are obtained from both approaches.\n

Cited by

• New solution of the N=2 Supersymmetric KdV equation via Hirota methods

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