Whitham gap dynamics of the real-valued solution of the sine-Gordon equation with finite-gap boundary conditions

DOI10.1007/BF02509617zbMath0884.35142MaRDI QIDQ1364868

Victor Yu. Novokshenov

Publication date: 4 November 1997

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

sine-Gordon equationWhitham systemfinite-gap boundary conditions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53)

Cites Work

• Real two-zone solutions of the sine-Gordon equation
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• The dispersionless Lax equations and topological minimal models
• Method of averaging for two-dimensional integrable equations
• Whitham deformations of top-like integrable dynamical systems
• Multi-soliton solutions and quasi-periodic solutions of nonlinear equations of sine-Gordon type
• Example of shock waves in unstable media: The focusing nonlinear Schrödinger equation
• Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
• Modulations of Sinh-Gordon and Sine-Gordon Wavetrains
• The hyperbolic nature of the zero dispersion Kdv limit
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