On a generalization of Jacobi's elliptic functions and the double sine-Gordon kink chain

DOI10.1063/1.3656873zbMath1272.35179arXiv0909.2026OpenAlexW3099975003MaRDI QIDQ2851778

Michael Pawellek

Publication date: 2 October 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.2026

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) NLS equations (nonlinear Schrödinger equations) (35Q55) Elliptic integrals as hypergeometric functions (33C75) Soliton solutions (35C08)

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Cites Work

• Über das Umkehrproblem der Abelschen Integrale
• Exact solutions to the double sine-Gordon equation
• Semiclassical particle spectrum of double sine-Gordon model
• Dynamical systems on infinitely sheeted Riemann surfaces
• Quasi-doubly periodic solutions to a generalized Lamé equation