An integral geometry lemma and its applications: the nonlocality of the Pavlov equation and a tomographic problem with opaque parabolic objects

DOI10.1134/S0040577916100056zbMath1362.37141arXiv1511.04436WikidataQ125046279 ScholiaQ125046279MaRDI QIDQ508930

Paolo Maria Santíni, Petr G. Grinevich

Publication date: 8 February 2017

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.04436

zbMATH Keywords

inverse scattering transformdispersionless PDEsPavlov equationscattering with an obstacle

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Radon transform (44A12) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (1)

Lie symmetry analysis, optimal system, new solitary wave solutions and conservation laws of the Pavlov equation

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