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Extension of the bilinear formalism to supersymmetric KdV-type equations

• A. S. Carstea
• 2001

Extending the gauge-invariance principle for τ functions of the standard bilinear formalism to the supersymmetric case, we define N=1 supersymmetric Hirota operators. Using them, we bilinearize SUSY… (More)

Proteomic waves in networks of transcriptional regulators

• A. S. Carstea
• Mathematics and Computers in Simulation
• 2009

The protein production for a gene regulatory network model with activation-repression links is analysed. In these networks this production depends on how proteins induce or repress the genes.… (More)

Bilinear Approach to Supersymmetric KdV Equation

• A. S. Carstea
• 2001

Extending the gauge-invariance principle for τ functions of the standard bilinear formalism to the supersymmetric case, we define N = 1 supersymmetric Hirota operators. Using them, we bilinearize… (More)

Hirota Bilinear Formalism and Supersymmetry

• A. S. Carstea
• 2000

Extending the gauge-invariance principle for τ functions of the standard bilinear formalism to the supersymmetric case, we define N = 1 supersymmetric Hirota operators. Using them, we bilinearize… (More)

On a Class of Rational and Mixed Soliton-rational Solutions of Toda Lattice

• A. S. Carstea
• 2008

A class of rational solutions of Toda lattice satisfying certain Backlund transformations and a class of mixed rational-soliton solutions (quasisolitons)in wronskian form are obtained using the… (More)

On the Dynamics of Rational Solutions for 1-d Generalized Volterra System

• A. S. Carstea
• 2008

The Hirota bilinear formalism and soliton solutions for a generalized Volterra system is presented. Also, starting from the soliton solutions, we obtain a class of nonsingular rational solutions… (More)

Fiber-dependent deautonomization of integrable 2D mappings and discrete Painlevé equations

• A. S. Carstea
• 2017

It is well known that two-dimensional mappings preserving a rational elliptic fibration, like the Quispel–Roberts–Thompson mappings, can be deautonomized to discrete Painlevé equations. However, the… (More)

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