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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 157, Number 1, Pages 130–140
DOI: https://doi.org/10.4213/tmf6268 (Mi tmf6268) 		 
The Nizhnik–Veselov–Novikov equation with self-consistent sources

Wang Hong-Yanabc

a Graduate University of the Chinese Academy of Sciences
b Institute of Computational Mathematics and Scientific/Engineering Computing
c School of Information, Renmin University of China
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DOI: https://doi.org/10.4213/tmf6268
Abstract: We construct the coupled generalization of the Nizhnik–Veselov–Novikov (NVN) equation, i.e., the NVN equation with self-consistent sources (ESCS) and solve it using the so-called source generation procedure. We obtain BKP-type and DKP-type Pfaffian solutions of the NVN ESCS. In addition, we give a bilinear Bäcklund transformation and a Lax pair for the NVN ESCS. Furthermore, this Lax pair can be reduced to a Lax pair for the NVN equation.
Keywords: Nizhnik–Veselov–Novikov equation, self-consistent source, “source generation” procedure, Bäcklund transformation, Lax pair.
Received: 22.11.2007
Revised: 02.01.2008
English version:
Theoretical and Mathematical Physics, 2008, Volume 157, Issue 1, Pages 1474–1483
DOI: https://doi.org/10.1007/s11232-008-0121-9
Bibliographic databases:
Language: Russian
Citation: Wang Hong-Yan, “The Nizhnik–Veselov–Novikov equation with self-consistent sources”, TMF, 157:1 (2008), 130–140; Theoret. and Math. Phys., 157:1 (2008), 1474–1483
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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