Absence of exponentially localized solitons for the Novikov–Veselov equation at positive energy

Absence of exponentially localized solitons for the Novikov–Veselov equation at positive energy

In this Letter we show that the Novikov–Veselov equation (NV-equation) at positive energy (an analog of KdV in 2 + 1 dimensions) has no exponentially localized solitons in the two-dimensional sense.

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Veröffentlicht in:Physics letters. A 2011-02, Vol.375 (9), p.1233-1235
1. Verfasser: Novikov, R.G.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis of PDEs
Mathematical analysis
Mathematical Physics
Mathematics
Physics
Solid state physics
Solitons
Two dimensional
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Zusammenfassung:In this Letter we show that the Novikov–Veselov equation (NV-equation) at positive energy (an analog of KdV in 2 + 1 dimensions) has no exponentially localized solitons in the two-dimensional sense.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2011.01.052