Boundary value problem for the KdV equation on a half-line

DOI10.1007/BF02630371zbMath0916.35100OpenAlexW2009350180MaRDI QIDQ1280822

A. B. Shabat, Ismagil T. Habibullin, Vsevolod Eduardovich Adler

Publication date: 26 July 1999

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02630371

zbMATH Keywords

conservation lawsinverse scattering transformexact solutionsfinite-gap solutionsalgebro-geometrical solutions

Mathematics Subject Classification ID

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) Inverse problems for PDEs (35R30) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (10)

Integrable boundary problems for 2D Toda lattice ⋮ On solution of the integrable initial boundary value problem for KdV equation on the semi-axis ⋮ Integrable boundary value problems for elliptic type Toda lattice in a disk ⋮ On the solutions of some boundary value problems for the general KdV equation ⋮ Explicit solutions of an integrable boundary value problem for the two-dimensional Toda lattice ⋮ On a method for constructing the Lax pairs for integrable models via a quadratic ansatz ⋮ KdV equation on a half-line with the zero boundary condition ⋮ Sine-Gordon equation on the semi-axis ⋮ Multi-soliton solutions of KP equation with integrable boundary via \(\overline{\partial}\)-dressing method ⋮ An initial-boundary value problem on the half-line for the MKdV equation

Cites Work

• Unnamed Item
• Integrable initial-boundary-value problems
• Initial boundary-value problems for the Korteweg-de Vries equation
• An initial-boundary value problem for the nonlinear Schrödinger equation
• BOUNDARY S MATRIX AND BOUNDARY STATE IN TWO-DIMENSIONAL INTEGRABLE QUANTUM FIELD THEORY
• Reflectionless Transmission through Dielectrics and Scattering Potentials
• 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

This page was built for publication: Boundary value problem for the KdV equation on a half-line