V
Vladimir Novikov
Researcher at Loughborough University
Publications - 54
Citations - 1151
Vladimir Novikov is an academic researcher from Loughborough University. The author has contributed to research in topics: Integrable system & Lax pair. The author has an hindex of 12, co-authored 52 publications receiving 954 citations. Previous affiliations of Vladimir Novikov include Landau Institute for Theoretical Physics & University of Kent.
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Generalizations of the Camassa–Holm equation
TL;DR: In this article, generalized Camassa-Holm-type equations with infinite hierarchies of higher symmetries are classified as negative flows of integrable quasi-linear scalar evolution equations of orders 2, 3 and 5.
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Perturbative symmetry approach
TL;DR: In this article, the authors formulate a perturbative version of the symmetry approach in the symbolic representation and generalize it in order to make it suitable for the study of nonlocal and non-evolution equations.
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On Classification of Integrable Nonevolutionary Equations
TL;DR: In this article, the perturbative symmetry approach in symbolic representation was used to classify the homogeneous integrable equations of fourth and sixth order (in the space derivative) equations, as well as three new tenth-order integrability equations.
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Generalisations of the Camassa-Holm equation
TL;DR: In this article, generalised Camassa-Holm type equations with infinite hierarchies of higher symmetries are treated as negative flows of integrable quasi-linear scalar evolution equations of orders 2, 3 and 5.
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On classification of integrable non-evolutionary equations
TL;DR: In this paper, the integrability of Boussinesq integrable partial differential equations of second order (in time) has been studied and a hierarchy of infinitely many higher symmetries has been developed.