Properties of Riesz fractional derivatives for Korteweg--de Vries solitons

DOI10.1007/S00033-010-0068-1zbMath1222.35180OpenAlexW2095094381MaRDI QIDQ638717

Vladimir V. Varlamov

Publication date: 13 September 2011

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-010-0068-1

zbMATH Keywords

orthogonalityWronskiansRiesz fractional derivativesKorteweg-de Vries solitonfull range Hurwitz Zeta functions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Fractional derivatives and integrals (26A33) Hurwitz and Lerch zeta functions (11M35)

Related Items (1)

Wavelets generated by Riesz potentials of KdV solitons

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic expansions for Riesz fractional derivatives of Airy functions and applications
• Semi-integer derivatives of the Airy functions and related properties of the Korteweg-de Vries-type equations
• Differential and integral relations involving fractional derivatives of Airy functions and applications
• Riesz potentials for Korteweg-de Vries solitons
• Remarks on the Korteweg-de Vries equation
• On the (generalized) Korteweg-de Vries equation
• Stability and weak rotation limit of solitary waves of the Ostrovsky equation
• A Remarkable Property of Definite Integrals
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
• Symmetrization of the Hurwitz zeta function and Dirichlet L functions
• ON THE NATURE OF THE SPECTRUM IN PROBLEMS OF RELATIVISTIC QUANTUM MECHANICS (II)

This page was built for publication: Properties of Riesz fractional derivatives for Korteweg--de Vries solitons