The KdV Equation on the Half-Line: Time-Periodicity and Mass Transport

DOI10.1137/19M1271981zbMath1439.35424arXiv1906.05053MaRDI QIDQ5218958

Jonatan Lenells, Jerry L. Bona

Publication date: 6 March 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.05053

zbMATH Keywords

Korteweg-de Vries equationwater wavesinitial-boundary-value problemwave tank experiments

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) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Integral representations of solutions to PDEs (35C15) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Experimental work for problems pertaining to geophysics (86-05) PDEs in connection with geophysics (35Q86)

Related Items (1)

Numerical study of the generalized Korteweg-de Vries equations with oscillating nonlinearities and boundary conditions

Cites Work

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