On solutions of the integrable boundary value problem for KdV equation on the semi-axis

DOI10.1007/S11040-012-9119-5zbMath1283.35111OpenAlexW2116580443MaRDI QIDQ360217

Mikhail Ignatiev

Publication date: 26 August 2013

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-012-9119-5

zbMATH Keywords

boundary value problemsintegrabilityKdV equationinverse spectral method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Sturm-Liouville theory (34B24) Inverse problems involving ordinary differential equations (34A55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (2)

On solution of the integrable initial boundary value problem for KdV equation on the semi-axis ⋮ On the solutions of some boundary value problems for the general KdV equation

Cites Work

• Boundary conditions for integrable equations
• Initial boundary value problem for the KdV equation on a semiaxis with homogeneous boundary conditions
• Integrable nonlinear evolution equations on the half-line
• Integrable nonlinear evolution equations on a finite interval
• The Korteweg–de Vries Equation, Posed in a Quarter-Plane
• Explicit soliton asymptotics for the Korteweg–de Vries equation on the half-line
• Initial boundary value problem for the nonlinear Schrodinger equation
• Boundary conditions for integrable equations
• The nonlinear Schrödinger equation on the half-line
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