A ``nonlinear'' generalization of special functions of wave catastrophes described by double integrals
type: Item
instance of: scholarly article
title: A ``nonlinear'' generalization of special functions of wave catastrophes described by double integrals
zbMATH Open document ID: 0807.35019
author: B. I. Sulejmanov
published in: Mathematical Notes
publication date: 1994-07-21T00:00:00Z
review text: The paper is devoted to special solutions of nonlinear differential equations which are integrable with the help of the ``inverse scattering problem'' method. The solutions are characterized by their linear limit turning into special functions of wave catastrophes. For any sector of angle \(\pi/3\) of a plane, the existence of a consistent solution to the system of inverse scattering problem equations with an asymptotic decomposition, is stated in the main result.
reviewed by: Luboš Pick
Mathematics Subject Classification ID: 35C20
zbMATH DE Number: 578697
zbMATH Keywords: inverse scattering problem
zbMATH Keywords: special functions of wave catastrophes
zbMATH Keywords: asymptotic decomposition
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 578697