NONLINEAR EQUATION WITH THE THIRD ORDER SCATTERING OPERATOR

NONLINEAR EQUATION WITH THE THIRD ORDER SCATTERING OPERATOR

Introduction: most of the differential equations associated with soliton mathematics are obtained using the Lax operator equation or the zero-curvature equation, which are the compatibility condition for a pair of linear differential systems. The case in which second-order systems were used to obtai...

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Bibliographic Details
Main Authors: Olga Sergeevna Yanovskaya, Olesya Borisovna Surneva
Format: Article
Language:Russian
Published: North-Caucasus Federal University 2022-09-01
Series:Наука. Инновации. Технологии
Subjects:
нелинейные уравнения в частных производных
операторное уравнение лакса
пара лакса
условие совместности системы дифференциальных уравнений
nonlinear partial differential equations
lax operator equation
lax pair
compatibility condition for a system of differential equations
Online Access:https://scienceit.elpub.ru/jour/article/view/180
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