Solitons on pseudo-Riemannian manifolds I. The sine-Gordon equation

DOI10.1080/03605309808821402zbMath0935.35143OpenAlexW2035765079MaRDI QIDQ4220080

David M. A. Stuart

Publication date: 18 February 1999

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309808821402

zbMATH Keywords

sine-Gordon equationpseudo-Riemannian metricWKB expansionsexplicit solitons

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Geometric optics (78A05)

Related Items (3)

The geodesic hypothesis and non-topological solitons on pseudo-Riemannian manifolds ⋮ Solitons in the presence of a small, slowly varying perturbation ⋮ Stability of the solitary manifold of the perturbed sine-Gordon equation

Cites Work

• Asymptotic solutions of oscillatory initial value problems
• Stability theory for solitary-wave solutions of scalar field equations
• A remark on the scattering of BPS monopoles.
• Perturbation theory for kinks
• The geodesic approximation for the Yang-Mills-Higgs equations
• Application of a Nonlinear WKB Method to the Korteweg–DeVries Equation

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