A particle-system model of the sine-Gordon hierarchy

DOI10.1016/0167-2789(86)90193-4zbMath0595.35095OpenAlexW2001402658MaRDI QIDQ1077633

Emma Previato

Publication date: 1986

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90193-4

zbMATH Keywords

sine-Gordon equationBaker-Akhiezer functionsAKNS eigenfunctionsLax-pair equationperturbation of particle models

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to PDEs (35B15) Perturbations in context of PDEs (35B20) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Unnamed Item, Isospectral flow in loop algebras and quasiperiodic solutions of the sine-Gordon equation

Cites Work

• Real two-zone solutions of the sine-Gordon equation
• The geometry of real sine-Gordon wavetrains
• Multi-soliton solutions and quasi-periodic solutions of nonlinear equations of sine-Gordon type
• The geometry of the Hill equation and of the Neumann system
• The sine-gordon and sinh-gordon equations on the circle
• Spectral theory for the periodic sine-Gordon equation: A concrete viewpoint
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
• Nonlinear wave equations and constrained harmonic motion