Algebraic-geometric principles of superposition of finite-zone solutions of integrable non-linear equations
1986; IOP Publishing; Volume: 41; Issue: 2 Linguagem: Inglês
10.1070/rm1986v041n02abeh003241
ISSN1473-2009
AutoresE. D. Belokolos, Alexander I. Bobenko, V. B. Matveev, V. Z. Enolski,
Tópico(s)Differential Equations and Boundary Problems
ResumoCONTENTS Introduction Chapter I. Reduction of Abelian integrals and theta functions § 1. Abelian integrals and Riemann theta functions § 2. Reduction of Abelian integrals and theta functions of genus 2 § 3. Normal coverings and the reduction of theta functions Chapter II. Multiphase (finite-zone) solutions, expressed by Jacobi theta functions, of non-linear equations of KdV-type of genus g ≥ 2 § 4. Solutions of the sine-Gordon equation by elliptic functions § 5. Two-zone Lame potentials and the associated reduction of hyperelliptic integrals § 6. On a periodic solution of a problem of Kovalevskaya § 7. Solutions of the Landau-Lifschitz equation References
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