scientific article; zbMATH DE number 7804952

DOI10.22405/2226-8383-2023-24-2-266-275MaRDI QIDQ6153824

Muzaffar Masharipovich Khasanov, Ilkhom Davronbekovich Rakhimov

Publication date: 14 February 2024

Full work available at URL: http://mathnet.ru/eng/cheb1319

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

inverse spectral problemself-consistent sourceDubrovin-Trubovits system of equationsKdV of negative order

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Inverse problems for PDEs (35R30) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Cites Work

• The Korteweg-de Vries equation with a self-consistent source in the class of periodic functions
• The periodic problem for the Korteweg-de Vries equation
• Necessary and sufficient conditions for the spectra of the Sturm-Liouville operators with frozen argument
• Cuspons and smooth solitons of the Degasperis-Procesi equation under inhomogeneous boundary condition
• Negative powers of Olver recursion operators
• Periodic solutions of the KdV equation
• The inverse problem for periodic potentials
• Symmetries of the KdV equation and four hierarchies of the integrodifferential KdV equations
• Method for Solving the Korteweg-deVries Equation
• Quasi-periodic solutions to a negative-order integrable system of 2-component KdV equation
• Negative-order KdV equations in (3+1) dimensions by using the KdV recursion operator
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