Corina N. Babalic
Highly Influential Citations1
Claim Your Author Page
Ensure your research is discoverable on Semantic Scholar. Claiming your author page allows you to personalize the information displayed and manage publications (all current information on this profile has been aggregated automatically from publisher and metadata sources).
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 method. The… Continue Reading
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 in the case of… Continue Reading
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 “diagonal” (in… Continue Reading
Starting from a general study on how to get soliton solutions of PDE’s using the dressing factor method, we will eectively obtain the 2-soliton solution for Tzitzeica equation.
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 the supersymmetric… Continue Reading
We construct an integrable discretization of differential-difference multicomponent Ablowitz-Ladik system with branched dispersion relation, using the Hirota bilinear formalism. The multisoliton… Continue Reading
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 transformations to classical… Continue Reading
The integrable cases of fermionic extensions of the KdV equation are reviewed, using Hirota bilinear formalism extended to super space. The supersymmetric and the non-supersymmetric continuous and… Continue Reading