On an inverse problem for the KdV equation with variable coefficient

DOI10.1134/S0001434619110166zbMath1435.35291OpenAlexW2997355900MaRDI QIDQ2304495

Yanyan Li

Publication date: 12 March 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434619110166

zbMATH Keywords

Hamiltonian formalismadiabatic invariantstationary solutionwaves on shallow water

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Inverse problems for PDEs (35R30) PDEs with low regular coefficients and/or low regular data (35R05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Traveling wave solutions (35C07) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

О решении одной обратной задачи для уравнений мелкой воды в бассейне с переменной глубиной ⋮ Solution of inverse problems for wave equation with a nonlinear coefficient ⋮ Uniqueness of the solution of the inverse problem for a model of the dynamics of an age-structured population

Cites Work

• Exact step-like solutions of one-dimensional shallow-water equations over a sloping bottom
• Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
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