New multidimensional partially integrable generalization of S-integrable N-wave equation

A. I. Zenchuk

doi:10.1063/1.2759444

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arXiv · nlin/0612048

New multidimensional partially integrable generalization of S-integrable N-wave equation

A. I. Zenchuk

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Abstract

This paper develops a modification of the dressing method based on the inhomogeneous linear integral equation with integral operator having nonempty kernel. Method allows one to construct the systems of multidimensional Partial Differential Equations (PDEs) having the differential polynomial forms in any dimension n. Associated solution space is not full, although it is parametrized by a certain number of arbitrary functions of (n-1)-variables. We consider 4-dimensional generalization of the classical (2+1)-dimensional S-integrable N-wave equation as an example.

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BibTeX RIS

A. I. Zenchuk. 2007-07-13. New multidimensional partially integrable generalization of S-integrable N-wave equation. https://doi.org/10.1063/1.2759444

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