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

2003/09/29 by A. I. Zenchuk, Zenchuk, A. I.
Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Fractional Differential Equations Solutions #Nonlinear Waves and Solitons #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.nlin/0309073

openalex publication_date 2003/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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