Multidimensional linearizable system of <Emphasis Type="Italic">n</Emphasis>-wave-type equations |
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Authors: | A I Zenchuk |
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Institution: | 1.Institute of Problems of Chemical Physics,RAS,Chernogolovka, Moscow Oblast,Russia |
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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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