Boundary value problems for integrable equations compatible with the symmetry algebra

DOI10.1063/1.531189zbMath0845.35106arXivsolv-int/9411001OpenAlexW3103400742MaRDI QIDQ4873404

Metin Gürses, Burak Gürel, Ismagil T. Habibullin

Publication date: 16 April 1996

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9411001

zbMATH Keywords

symmetryboundary conditionsboundary value problems

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items

The Ablowitz–Ladik system on a finite set of integers ⋮ Boundary conditions for integrable lattices ⋮ Initial-boundary value problems associated with the Ablowitz-Ladik system ⋮ Integrable boundary value problems for elliptic type Toda lattice in a disk ⋮ Reductions of the Volterra lattice ⋮ Boundary value problem for the KdV equation on a half-line ⋮ KdV equation on a half-line with the zero boundary condition ⋮ The Ablowitz-Ladik system on a graph ⋮ An initial-boundary value problem on the half-line for the MKdV equation ⋮ Hydrodynamic type integrable equations on a segment and a half-line

Cites Work

• Integrable initial-boundary-value problems
• Boundary-value problem for nonlinear Schrödinger equation
• Boundary value problems compatible with symmetries
• Continued-fraction solutions to the Riccati equation and integrable lattice systems
• A symmetry approach to exactly solvable evolution equations
• A complete solution of the periodic Toda problem
• Soliton generation for initial-boundary-value problems