NONLINEAR EQUATIONS WITH INTEGRATED OPERATOR STRUCTURES

NONLINEAR EQUATIONS WITH INTEGRATED OPERATOR STRUCTURES

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 deriv...

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Bibliographic Details
Main Author: Valentina M. Karslieva
Format: Article
Language:Russian
Published: North Caucasus Federal University 2022-05-01
Series:Вестник Северо-Кавказского федерального университета
Subjects:
закон сохранения
метод обратной задачи рассеяния
нелинейные уравнения с частными производными
пара лакса
эволюционное уравнение
the conservation law
the inverse scattering problem method
nonlinear equations with partial derivatives
lax pair
the evolutionary equation
Online Access:https://vestnikskfu.elpub.ru/jour/article/view/1559
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