Sine-Gordon equation on the semi-axis

DOI10.1007/BF02557111zbMath0946.35089OpenAlexW2026500785MaRDI QIDQ1568047

Ismagil T. Habibullin

Publication date: 19 July 2000

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

Full work available at URL: https://doi.org/10.1007/bf02557111

zbMATH Keywords

boundary conditionssine-Gordon equationBäcklund transformationmultisoliton solution

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (6)

\(\mathcal{N}=1 \) super sinh-Gordon model in the half line: breather solutions ⋮ Yang-Baxter algebra and generation of quantum integrable models ⋮ Boundary scattering in the \({\varphi}^6\) model ⋮ Infinite dimension reflection matrices in the sine-Gordon model with a boundary ⋮ Multi-soliton solutions of KP equation with integrable boundary via \(\overline{\partial}\)-dressing method ⋮ Soliton solutions of an integrable boundary problem on the half-line for the discrete Toda chain

Cites Work

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• Integrable initial-boundary-value problems
• Boundary conditions for integrable equations
• Boundary value problem for the KdV equation on a half-line
• Dressing chains and the spectral theory of the Schrödinger operator
• The boundary sine-Gordon theory: classical and semi-classical analysis
• BOUNDARY S MATRIX AND BOUNDARY STATE IN TWO-DIMENSIONAL INTEGRABLE QUANTUM FIELD THEORY
• The integrable initial-boundary value problem on a semiline: nonlinear Schrodinger and sine-Gordon equations
• Boundary conditions for integrable equations
• Symmetry Approach in Boundary Value Problems

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