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Symmetry  2012 

Soliton and Similarity Solutions of Ν = 2, 4 Supersymmetric Equations

DOI: 10.3390/sym4030441

Keywords: supersymmetric equations, solitons, Hirota bilinear formalism

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Abstract:

We produce soliton and similarity solutions of supersymmetric extensions of Burgers, Korteweg–de Vries and modified KdV equations. We give new representations of the τ -functions in Hirota bilinear formalism. Chiral superfields are used to obtain such solutions. We also introduce new solitons called virtual solitons whose nonlinear interactions produce no phase shifts.

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