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Symmetry 2012, 4(3), 441-451; doi:10.3390/sym4030441
Article

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

1,*  and 1,2
Received: 25 May 2012 / Accepted: 27 July 2012 / Published: 8 August 2012
(This article belongs to the Special Issue Supersymmetry)
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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.
Keywords: supersymmetric equations; solitons; Hirota bilinear formalism supersymmetric equations; solitons; Hirota bilinear formalism
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Delisle, L.; Hussin, V. Soliton and Similarity Solutions of Ν = 2, 4 Supersymmetric Equations. Symmetry 2012, 4, 441-451.

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