77 citations · 599 across the 42 of their papers we have counts for
42 papers
N=2 Supercomplexification of the Korteweg-de Vries, Sawada-Kotera and Kaup-Kupershmidt Equations
Ziemowit Popowicz
The supercomplexification is a special method of N=2 supersymmetrization of the integrable equations in which the bosonic sector could be reduced to the complex version of these eq…
Lax Representations for Matrix Short Pulse Equations
Ziemowit Popowicz
The Lax representation for different matrix generalizations of Short Pulse Equations (SPE) is considered. The four-dimensional Lax representations of four-component Matsuno, Feng a…
A four component cubic peakon (4CH) equations
Ziemowit Popowicz
Two different four component Camassa-Holm (4CH) systems with cubic nonlinearity are proposed. The Lax pair and Hamiltonian structure are defined for both (CH) systems. The first (4…
Double Extended Cubic Peakon Equation
Ziemowit Popowicz
The Hamiltonian structure for the supersymmetric Novikov equation is presented. The bosonic sector give us two-component generalization of the cubic peakon equation. The doub…
A four-component Camassa-Holm type hierarchy
Nianhua Li, Q. P. Liu, Z. Popowicz
We consider a 33 spectral problem which generates four-component CH type systems. The bi-Hamiltonian structure and infinitely many conserved quantities are constructed for…
Two-Component Coupled KdV Equations and its Connection with the Generalized Harry Dym Equation
Ziemowit Popowicz
It is shown that, three different Lax operators in the Dym hierarchy, produce three generalized coupled Harry Dym equations. These equations transform, via the reciprocal link, to…