CONSTRUCTION OF CONSERVATION LAWS FOR NONLINEAR EQUATIONS CONNECTED WITH THE DIRAC SCATTERING OPERATOR

CONSTRUCTION OF CONSERVATION LAWS FOR NONLINEAR EQUATIONS CONNECTED WITH THE DIRAC SCATTERING OPERATOR

Introduction: the problem of integrability of nonlinear partial differential equations, even for the second order, is not always an obvious fact, since inding a general solution is possible only in rare cases. The proof of integrability can be justiied in many ways: by obtaining a large number of pa...

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Bibliographic Details
Main Author: Tatyana Valentinovna Redkina
Format: Article
Language:Russian
Published: North-Caucasus Federal University 2022-09-01
Series:Наука. Инновации. Технологии
Subjects:
оператор дирака
уравнение изоспектральной деформации
нелинейные уравнения в частных производных
интегралы движения
уравнение гамильтона
скобки пуассона
первые интегралы
законы сохранения
dirac operator
equation of isospectral deformation
nonlinear partial differential equations
integrals of motion
hamilton's equation
poisson brackets
irst integrals
conservation laws
Online Access:https://scienceit.elpub.ru/jour/article/view/179
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