Odd Hamiltonian Structure for Supersymmetric Sawada - Kotera Equation

Abstract

We study the supersymmetric N=1 hierarchy connected with the Lax operator of the supersymmetric Sawada-Kotera equation. This operator produces the physical equations as well as the exotic equations with odd time. The odd Bi-Hamiltonian structure for the N=1 Supersymmetric Sawada - Kotera equation is defined. The product of the symplectic and implectic Hamiltonian operator gives us the recursion operator. In that way we prove the integrability of the supersymmetric Sawada - Kotera equation in the sense that it has the Bi-Hamiltonian structure. The so called "quadratic" Hamiltonian operator of even order generates the exotic equations while the "cubic" odd Hamiltonian operator generates the physical equations.

11 pages, several nisprints are corrected, text is modified, Will appear in Phys.Lett a

References in corpus (4)

• Discovery of VHE gamma-rays from the high-frequency-peaked BL Lac object RGB J0152+017
• A supersymmetric Sawada-Kotera equation
• On recursion operators for elliptic models
• On the maximal superalgebras of supersymmetric backgrounds

Cited by in corpus (5)

• Supersymmetric Reciprocal Transformation and Its Applications
• Interaction solutions for supersymmetric mKdV-B equation
• The Even and Odd Supersymmetric Hunter - Saxton and Liouville Equations
• The Integrability of New Two-Component KdV Equation
• N=2 Supercomplexification of the Korteweg-de Vries, Sawada-Kotera and Kaup-Kupershmidt Equations