On integration of multidimensional generalizations of classical $C$- and $S$-integrable nonlinear partial differential equations

Abstract

We develop a new integration technique allowing one to construct a rich manifold of particular solutions to multidimensional generalizations of classical $C$- and $S$-integrable Partial Differential Equations (PDEs). Generalizations of (1+1)-dimensional $C$-integrable and (2+1)-dimensional $S$-integrable $N$-wave equations are derived among examples. Examples of multidimensional second order PDEs are represented as well.

31 pages

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• Inverse Scattering Problem for Vector Fields and the Cauchy Problem for the Heavenly Equation
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Cited by in corpus (1)

• On integration of multidimensional version of $n$-wave type equation