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Traveling wave reduction of the modified KdV hierarchy: The Lax pair and the first integrals

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dc.contributor.authorKudryashov, N. A.
dc.contributor.authorКудряшов, Николай Алексеевич
dc.date.accessioned2024-11-20T09:48:46Z
dc.date.available2024-11-20T09:48:46Z
dc.date.issued2019
dc.description.abstract© 2019 Elsevier B.V. The traveling wave reduction of the modified Korteweg-de Vries hierarchy is considered. The linear system of equations associated with this hierarchy is found in the general form. The Lax pair is used to obtain the first integrals for the traveling wave reduction of this hierarchy. The first three members of the mKdV hierarchy are considered in more detail. Exact solutions for the traveling wave reduction for the mKdV hierarchy and its first integrals are given. The obtained first integrals can be considered as the expansion of the list for the nonlinear integrable differential equations.
dc.format.extentС. 472-480
dc.identifier.citationKudryashov, N. A. Traveling wave reduction of the modified KdV hierarchy: The Lax pair and the first integrals / Kudryashov, N.A. // Communications in Nonlinear Science and Numerical Simulation. - 2019. - 73. - P. 472-480. - 10.1016/j.cnsns.2019.03.007
dc.identifier.doi10.1016/j.cnsns.2019.03.007
dc.identifier.urihttps://www.doi.org/10.1016/j.cnsns.2019.03.007
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dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/16650
dc.relation.ispartofCommunications in Nonlinear Science and Numerical Simulation
dc.titleTraveling wave reduction of the modified KdV hierarchy: The Lax pair and the first integrals
dc.typeArticle
dspace.entity.typePublication
oaire.citation.volume73
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