2001•Journal of Nonlinear Mathematical PhysicsOpen access

Bilinear Approach to Supersymmetric KdV Equation

Adrian Stefan Carstea

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Abstract

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

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

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Available abstract

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

Key concepts: Korteweg–de Vries equation, Bilinear interpolation, Supersymmetry, Mathematics, Mathematical physics, Bilinear form, Gauge (firearms), Applied mathematics

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