New multidimensional partially integrable generalization of S - integrable N - wave equation
نویسنده
چکیده
This paper develops a modification of the dressing method based on inhomogeneous linear integral equation with integral operator having nonempty kernel. Method allows one to construct the systems of multidimensional Partial Differential Equations (PDEs) having differential polynomial structure in any dimension n. Associated solution space is not full, although it is parametrized by 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.
منابع مشابه
A new multidimensional partially integrable generalization of N - wave equation
This paper develops a modification of the dressing method based on the nonhomoge-neous linear integral equation with integral operator having nonempty kernel. Method allows one to construct systems of multidimensional Partial Differential Equations (PDEs) in the form of differential polynomial in any dimension n. Associated solution space is not full, although it is parameterized by a certain n...
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