NONLINEAR EQUATIONS WITH INTEGRATED OPERATOR STRUCTURES
Abstract
The article is devoted to the construction of nonlinear equations with partial derivatives possessing Lax operator structure. The presence of Lax pair is supposed to allow to integrate the obtained equations with the help of the inverse scattering problem method. For the equations with partial derivatives having the form of local conservation law one of the possible Lax pairs is given.
References
1. Лакс П. Д. Интегралы нелинейных эволюционных уравнений и уединенные волны. Математика. М.: Мир, 1969.Т. 13. С.128-150
Review
For citations:
Karslieva V.M. NONLINEAR EQUATIONS WITH INTEGRATED OPERATOR STRUCTURES. Newsletter of North-Caucasus Federal University. 2014;(3):11-17. (In Russ.)
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