Dispersive hydrodynamics of soliton condensates for the Korteweg-de Vries equation
DOI10.1007/s00332-023-09940-yzbMath1527.35347arXiv2208.04472OpenAlexW4386846187MaRDI QIDQ6074808
Giuseppe Roberti, Thibault Congy, Alexander Tovbis, Gennady A. El
Publication date: 19 October 2023
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.04472
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) KdV equations (Korteweg-de Vries equations) (35Q53) Shock waves and blast waves in fluid mechanics (76L05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) First-order nonlinear hyperbolic equations (35L60) PDEs with randomness, stochastic partial differential equations (35R60) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Statistical mechanics of gases (82D05) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08) Integro-partial differential equations (35R09)
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