Nonlinear superposition formula for SUSY SG/MKdV equations revisited

Nonlinear superposition formula for SUSY SG/MKdV equations revisited

The derivation of nonlinear superposition formula is reexamined for the N=1 supersymmetric sinh-Gordon equation. It is shown that this formula results from the spatial part of Bäcklund transformation only and therefore can be associated with the supersymmetric MKdV equation.

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Veröffentlicht in:Physics letters. A 2011-03, Vol.375 (10), p.1286-1294
Hauptverfasser: Xue, Ling-Ling, Liu, Q.P., Liu, Rui-Mei
Format: Artikel
Sprache:eng
Schlagworte:
Bäcklund transformation
Derivation
Mathematical analysis
Nonlinear superposition formula
Nonlinearity
Solid state physics
Supersymmetric MKdV
Supersymmetric sine-Gordon
Transformations
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Zusammenfassung:The derivation of nonlinear superposition formula is reexamined for the N=1 supersymmetric sinh-Gordon equation. It is shown that this formula results from the spatial part of Bäcklund transformation only and therefore can be associated with the supersymmetric MKdV equation.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2011.01.051