Instability and blow-up of solutions of the fifth-order KP equation

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dc.contributor.authorSteve Levandosky
dc.contributor.authorAmin Esfahani
dc.date.accessioned2025-11-24T08:37:02Z
dc.date.issued2025
dc.description.abstractIn this paper, we study the dynamical behavior of solutions of the fifth-order Kadomtsev–Petviashvili equation. We improve the results of the previous works and show strong instability of solitary waves when the coefficient of the third-order dispersion term is positive. In spite of the lack of scaling, by using the variational characteristics of the solitary waves we obtain sharp thresholds for blow-up and global existence by means of new estimates.
dc.identifier.citationAmin Esfahani, & Steve Levandosky (2021). Instability and blow-up of solutions of the fifth-order KP equation. . https://doi.org/10.1016/j.jmaa.2021.125953
dc.identifier.doi10.1016/j.jmaa.2021.125953
dc.identifier.urihttps://doi.org/10.1016/j.jmaa.2021.125953
dc.identifier.urihttps://nur.nu.edu.kz/handle/123456789/17508
dc.languageen
dc.publisherNazarbayev University
dc.rightsAll rights reserved
dc.subjectEconomics
dc.subjectComputer science
dc.subjectMachine learning
dc.subjectFinance
dc.subjectQuantum mechanics
dc.subjectOptics
dc.subjectGeometry
dc.subjectPhysics
dc.subjectMechanics
dc.subjectApplied mathematics
dc.subjectTraveling wave
dc.subjectStability (learning theory)
dc.subjectDispersion (optics)
dc.subjectOrder (exchange)
dc.subjectMathematical analysis
dc.subjectScaling
dc.subjectTerm (time)
dc.subjectInstability
dc.subjectMathematics
dc.titleInstability and blow-up of solutions of the fifth-order KP equation
dc.typeArticle

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