1998/05/19 by Ziemowit Popowicz, Z. Popowicz
Chemistry · Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Chemistry #Hamiltonian (control theory) #Hierarchy #Integrable system #KdV hierarchy #Korteweg–de Vries equation #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Operator (biology) #Physics #Pure mathematics #Quantum mechanics #Supersymmetry #nlin.SI #solv-int
paper · pdf · doi:10.1016/s0375-9601(98)00731-2
9 pages Latex,e-mail [email protected]
arxiv created 1998/05/19 · openalex publication_date 1998/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We preesent a new supersymmetric integrable extensions of the a=4,N=2 KdV hierarchy. The root of the supersymmetric Lax operator of the KdV equation is generalized, by including additional fields. This generalized root generate new hierarchy of integrable equations, for which we investigate the hamiltonian structure. In special case our system describes the interaction of the KdV equation with the two MKdV equations.