Abstract
We propose a linearizable version of a multidimensional system of n-wave-type nonlinear partial differential equations (PDEs). We derive this system using the spectral representation of its solution via a procedure similar to the dressing method for nonlinear PDEs integrable by the inverse scattering transform method. We show that the proposed system is completely integrable and construct a particular solution.
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This research is supported in part by the Russian Foundation for Basic Research (Grant No. 14-01-00389) and the Program for Supporting Leading Scientific Schools (Grant No. NSh-9697.2016.2).
Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 190, No. 1, pp. 48–57, January, 2017.
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Zenchuk, A.I. Multidimensional linearizable system of n-wave-type equations. Theor Math Phys 190, 43–51 (2017). https://doi.org/10.1134/S0040577917010032
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DOI: https://doi.org/10.1134/S0040577917010032