论文信息 - Bilinear Approach to Supersymmetric KdV Equation

Bilinear Approach to Supersymmetric KdV Equation

Abstract Extending the gauge-invariance principle for τ functions of the standard bilinear formalism to the supersymmetric case, we define = 1 supersymmetric Hirota operators. Using them, we bilinearize SUSY KdV equation. The solution for multiple collisions of super-solitons is given.

A S Carstea | A. Carstea

[1] Alfred Ramani,et al. Multilinear operators: the natural extension of Hirota's bilinear formalism , 1994, solv-int/9404006.

[2] A. Leclair,et al. Supersymmetric KP hierarchy: Free field construction , 1989 .

[3] C. Yung. The N=2 supersymmetric Boussinesq hierarchies , 1993 .

[4] Y. Manin,et al. A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy , 1985 .

[5] V. Kac,et al. On the super-KP hierachy , 1996 .

[6] C. Yung,et al. Hirota Bilinear Form for the Super-KdV Hierarchy , 1993 .

[7] S. Ferrara,et al. Classical Solutions in Two-Dimensional Supersymmetric Field Theories , 1977 .

[8] Pierre Mathieu,et al. Supersymmetric extension of the Korteweg--de Vries equation , 1988 .

[9] Victor G. Kac,et al. Super boson-fermion correspondence , 1987 .