A ``nonlinear'' generalization of special functions of wave catastrophes described by double integrals
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.
scientific article; zbMATH DE number 578697