Multidimensional linearizable system of $n$-wave type equations

Abstract

A linearizable version of multidimensional system of $n$-wave type nonlinear PDEs is proposed. This system is derived using the spectral representation of its solution via the procedure similar to the dressing method for the ISTM-integrable nonlinear PDEs. The proposed system is shown to be completely integrable, particular solution is represented.

9 pages, 1 figure

References in corpus (2)

• On the relationship between nonlinear equations integrable by the method of characteristics and equations associated with commuting vector fields
• On integration of multidimensional version of $n$-wave type equation