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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
1 Département de Mathématiques et de Statistique, Université de Montréal, C.P. 6128, Succursale Centre-ville, Montréal, (QC) H3C 3J7, Canada 2 Centre de Recherches Mathématiques, Université de Montréal, C.P. 6128, Succursale Centre-ville, Montréal (Québec) H3C 3J7, Canada
* Author to whom correspondence should be addressed.
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 (CC BY 3.0).
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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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