Riesz potentials for Korteweg-de Vries solitons
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Publication:980690
DOI10.1007/s00033-009-0003-5zbMath1192.35155OpenAlexW1986695640MaRDI QIDQ980690
Publication date: 29 June 2010
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-009-0003-5
KdV equations (Korteweg-de Vries equations) (35Q53) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Asymptotic expansions of solutions to PDEs (35C20) Soliton equations (35Q51) Soliton solutions (35C08) Fractional partial differential equations (35R11)
Related Items (3)
Riesz potentials for Korteweg-de Vries solitons and Sturm-Liouville problems ⋮ Wavelets generated by Riesz potentials of KdV solitons ⋮ Properties of Riesz fractional derivatives for Korteweg--de Vries solitons
Cites Work
- 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
- Gain of regularity for equations of KdV type
- Remarks on the Korteweg-de Vries equation
- On the (generalized) Korteweg-de Vries equation
- Stability of solitary waves and weak rotation limit for the Ostrovsky equation
- Fractional derivatives of products of Airy functions
- Stability and weak rotation limit of solitary waves of the Ostrovsky equation
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
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