An initial-boundary value problem on the half-line for the MKdV equation

DOI10.1007/BF02467067zbMath0966.35115arXivsolv-int/9806006OpenAlexW2082339854MaRDI QIDQ1576934

Ismagil T. Habibullin

Publication date: 16 August 2001

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9806006

zbMATH Keywords

Riemann problemmodified Korteweg-de Vries equationinverse scattering transform method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (4)

Characteristic properties of the scattering data for the mKdV equation on the half-line ⋮ Riemann-Hilbert problem for the fifth-order modified Korteweg–de Vries equation with the prescribed initial and boundary values ⋮ Riemann–Hilbert approach to the focusing and defocusing nonlocal complex modified Korteweg–de Vries equation with step-like initial data ⋮ Riemann-Hilbert approach for an initial-boundary value problem of the two-component modified Korteweg-de Vries equation on the half-line

Cites Work

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• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
• Boundary conditions for integrable equations
• Initial boundary-value problems for the Korteweg-de Vries equation
• Boundary value problem for the KdV equation on a half-line
• An initial-boundary value problem for the sine-Gordon equation in laboratory coordinates
• The integrable initial-boundary value problem on a semiline: nonlinear Schrodinger and sine-Gordon equations
• The inverse scattering transform: Semi-infinite interval
• Boundary conditions for integrable equations
• Boundary value problems for integrable equations compatible with the symmetry algebra

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