On the integrable elliptic cylindrical Kadomtsev-Petviashvili equation

DOI10.1063/1.4792268zbMath1319.37044arXiv1208.1475OpenAlexW1985796867WikidataQ33457589 ScholiaQ33457589MaRDI QIDQ2944692

Karima R. Khusnutdinova, Christian Klein, Vladimir B. Matveev, Aleksandr Olegovich Smirnov

Publication date: 2 September 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.1475

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solutions to PDEs in closed form (35C05) Higher-order elliptic equations (35J30)

Related Items (5)

Solutions of the Ablowitz-Kaup-Newell-Segur hierarchy equations of the ``rogue wave type: a unified approach ⋮ The Johnson equation, Fredholm and Wronskian representations of solutions, and the case of order three ⋮ Elliptic solitons and “freak waves” ⋮ Solitons and lump waves to the elliptic cylindrical Kadomtsev-Petviashvili equation ⋮ Wavefronts and modal structure of long surface and internal ring waves on a parallel shear current

Cites Work

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