Fourier form of the dressing method: simple example of integrable (2+1)-dimensional integral-differential equation

Abstract

We represent the Fourier form of the dressing method, which is effective for construction of multidimensional integral-differential equations together with their solutions. Example of integrable (but non-physical) expansion of Intermediate Long Wave equation in (2+1)-dimensions is considered.

arXiv comment7 pages

References in corpus (1)

• On integration of some classes of $(n+1)$ dimensional nonlinear Partial Differential Equations