Riesz potentials for Korteweg-de Vries solitons and Sturm-Liouville problems

DOI10.1155/2010/193893zbMath1207.35261OpenAlexW1988668732WikidataQ58651231 ScholiaQ58651231MaRDI QIDQ606223

Vladimir V. Varlamov

Publication date: 16 November 2010

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/232914

zbMATH Keywords

Hilbert transformSturm-Liouville problemRiesz potentialsKorteweg-de Vries soliton

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Soliton equations (35Q51) Soliton solutions (35C08) Methods of ordinary differential equations applied to PDEs (35A24)

Related Items (1)

Fractional integro-differential calculus and its control-theoretical applications. II. fractional dynamic systems: modeling and hardware implementation

Cites Work

• 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
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On the (generalized) Korteweg-de Vries equation
• Fractional derivatives of products of Airy functions
• Analysis of the intrinsic mode functions
• Maximum principle for the generalized time-fractional diffusion equation
• Decomposition of functions into pairs of intrinsic mode functions
• A Remarkable Property of Definite Integrals
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
• ON THE NATURE OF THE SPECTRUM IN PROBLEMS OF RELATIVISTIC QUANTUM MECHANICS (III)
• Symmetrization of the Hurwitz zeta function and Dirichlet L functions
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