Small-amplitude solutions of the sine-Gordon equation on an interval under Dirichlet or Neumann boundary conditions

DOI10.1007/BF01212955zbMath0839.35117OpenAlexW2034350456MaRDI QIDQ1898045

Alexander Ivanovich Bobenko, Sergej B. Kuksin

Publication date: 20 September 1995

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01212955

zbMATH Keywords

Dirichlet boundary conditionsNeumann boundary conditionssine-Gordon equationfinite-gap solutionsSchottky uniformization

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10)

Related Items (1)

Periodic solutions of the sinh-Gordon equation and integrable systems

Cites Work

• Geometry of the modulational instability. III: Homoclinic orbits for the periodic sine-Gordon equation
• The geometry of real sine-Gordon wavetrains
• Nearly integrable infinite-dimensional Hamiltonian systems
• The nonlinear Klein-Gordon equation on an interval as a perturbed sine-Gordon equation
• The sine-gordon and sinh-gordon equations on the circle
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