Baecklund transformations with two pseudo-potentials

Baecklund transformations with two pseudo-potentials

In this paper we discuss Baecklund transformations with two pseudo-potentials. We obtain two such transformations, one of which is from the modified KdV equation to itself, and the other from the modified KdV equation to another known nonlinear equation. As applications, from the trivial solutions o...

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Veröffentlicht in:Applied mathematics letters 2016-11, Vol.61, p.13-19
1. Verfasser: Cao, Xifang
Format: Artikel
Sprache:eng
Schlagworte:
Construction
Mathematical analysis
Nonlinear equations
Transformations (mathematics)
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Zusammenfassung:In this paper we discuss Baecklund transformations with two pseudo-potentials. We obtain two such transformations, one of which is from the modified KdV equation to itself, and the other from the modified KdV equation to another known nonlinear equation. As applications, from the trivial solutions of the modified KdV equation, we construct some novel solutions.
ISSN:0893-9659
DOI:10.1016/j.aml.2016.04.019