A. Cabada, A. Yakhshimuratov, “The System of Kaup Equations with a Self-Consistent Source in the Class of Periodic Functions”, Zh. Mat. Fiz. Anal. Geom., 2013, Volume 9, Number 3,Pages <nobr>287

This article is cited in 3 papers

The System of Kaup Equations with a Self-Consistent Source in the Class of Periodic Functions

A. Cabada^a, A. Yakhshimuratov^b

^a Department of Mathematical Analysis University of Santiago de Compostela, Santiago de Compostela, Spain
^b Department of Applied Mathematics and Mathematical Physics, Urgench State University, Urgench, Uzbekistan

Abstract: In the paper, a method of the inverse spectral problem is used to integrate the system of Kaup equations with a self-consistent source in the class of periodic functions.

Key words and phrases: quadratic pencil of Sturm–Liouville equations, spectral data, inverse problem, system of Dubrovin equations, system of Kaup equations with a self-consistent source.

MSC: 39A70, 37K15, 37K60, 35Q53

Received: 16.05.2011
Revised: 15.01.2013

Language: English