Supersymmetric Representations and Integrable Fermionic Extensions of the Burgers and Boussinesq Equations

Details Supersymmetric Representations and Integrable Fermionic Extensions of the Burgers and Boussinesq Equations Supersymmetric Representations and Integrable Fermionic Extensions of the Burgers and Boussinesq Equations

2005-11-24

arxiv.org/abs/math-ph/0511071v3

SIGMA 2 (2006), 030, 19 pages

Physics

Mathematical Physics

Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

Scientific paper

10.3842/SIGMA.2006.030

We construct new integrable coupled systems of N=1 supersymmetric equations and present integrable fermionic extensions of the Burgers and Boussinesq equations. Existence of infinitely many higher symmetries is demonstrated by the presence of recursion operators. Various algebraic methods are applied to the analysis of symmetries, conservation laws, recursion operators, and Hamiltonian structures. A fermionic extension of the Burgers equation is related with the Burgers flows on associative algebras. A Gardner's deformation is found for the bosonic super-field dispersionless Boussinesq equation, and unusual properties of a recursion operator for its Hamiltonian symmetries are described. Also, we construct a three-parametric supersymmetric system that incorporates the Boussinesq equation with dispersion and dissipation but never retracts to it for any values of the parameters.

Affiliated with

Also associated with

No associations

Rating

Supersymmetric Representations and Integrable Fermionic Extensions of the Burgers and Boussinesq Equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Supersymmetric Representations and Integrable Fermionic Extensions of the Burgers and Boussinesq Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Supersymmetric Representations and Integrable Fermionic Extensions of the Burgers and Boussinesq Equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-424703