Bilinear Approach to Supersymmetric KdV Equation

Cârstea, A. S.

doi:10.2991/jnmp.2001.8.supplement.9

JNMP

2001

DOI: 10.2991/jnmp.2001.8.supplement.9

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Bilinear Approach to Supersymmetric KdV Equation

A. S. Cârstea¹

Abstract: 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 KdV equation. The solution for multiple collisions of super-solitons is given.

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2016

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Interaction solutions for supersymmetric mKdV-B equation

Ren¹

2016

Chinese Journal of Physics

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The N = 1 supersymmetric mKdV-B system is transformed to a system of coupled bosonic equations by using the bosonization approach. The bosonized supersymmetric mKdV-B (BSmKdV-B) equation includes the usual mKdV equation and a linear partial differential equation. The bosonization approach can thus effectively avoid difficulties caused by anticommutative fermionic fields of the supersymmetric systems. The consistent tanh expansion (CTE) method is applied to the BSmKdV-B equation. A nonauto-Bäcklund (BT) theorem is obtained by using CTE method. The interaction solutions among solitons and other complicated waves including Painlevé II waves and periodic cnoidal waves are given through a nonauto-BT theorem. The features of the soliton-cnoidal interaction solutions are investigated both in analytical and graphical ways by combining the mapping and deformation method.

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Interaction solutions for supersymmetric mKdV-B equation

Ren¹

2016

Chinese Journal of Physics

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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 N = 1 supersymmetric Hirota operators. Using them, we bilinearize SUSY KdV equation. The solution for multiple collisions of super-solitons is given.

Cited by 1 publication

References 10 publications

Interaction solutions for supersymmetric mKdV-B equation

Interaction solutions for supersymmetric mKdV-B equation

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