17 citations · 45 across the 5 of their papers we have counts for
5 papers
Bilinear approach to Kuperschmidt super-KdV type equations
Corina N. Babalic, A. S. Carstea
Hirota bilinear form and soliton solutions for super-KdV of Kuperschmidt (Kuper-KdV) are given. It is shown that even though the collision of supersolitons is more complicated than…
Coupled Ablowitz-Ladik equations with branched dispersion
Corina N. Babalic, A. S. Carstea
Complete integrability and multisoliton solutions are discussed for a multicomponent Ablowitz-Ladik system with branched dispersion relation. It is also shown that starting from a…
Bilinear approach to the supersymmetric Gardner equation
N. C. Babalic, A. S. Carstea
We study a supersymmetric version of the Gardner equation (both focusing and defocusing) using the superbilinear formalism. This equation is new and cannot be obtained from supersy…
On the soliton solutions of a family of Tzitzeica equations
Corina N. Babalic, Radu Constantinescu, Vladimir S. Gerdjikov
We analyze several types of soliton solutions to a family of Tzitzeica equations. To this end we use two methods for deriving the soliton solutions: the dressing method and Hirota…
On some new forms of lattice integrable equations
Nicoleta-Corina Babalic, A. S. Carstea
Inspired by the forms of delay-Painleve equations, we consider some new differential-discrete systems of KdV, mKdV and Sine-Gordon - type related by simple one way Miura transforma…