The mean values of the Weierstrass elliptic function \(\wp\): theory and application

DOI10.1016/j.physd.2013.07.018zbMath1293.33023OpenAlexW2052296949MaRDI QIDQ2448442

Jonathan A. Sherratt, Yurii V. Brezhnev

Publication date: 30 April 2014

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

Full work available at URL: https://doi.org/10.1016/j.physd.2013.07.018

zbMATH Keywords

differential equationselliptic functionsmodular inversionWeierstrass invariants

Mathematics Subject Classification ID

Elliptic functions and integrals (33E05)

Related Items (2)

Analytic connections on Riemann surfaces and orbifolds ⋮ An exactly solvable problem of wave fronts and applications to the asymptotic theory

Uses Software

• Maple
• DLMF

Cites Work

• Nonlinear dynamics and pattern bifurcations in a model for vegetation stripes in semi-arid environments
• Classical automorphic forms and hypergeometric functions
• Elliptic functions and applications
• An analysis of vegetation stripe formation in semi-arid landscapes
• Non-canonical extension of θ-functions and modular integrability of ϑ-constants
• Conical functions of purely imaginary order and argument
• The application of Weierstrass elliptic functions to Schwarzschild null geodesics
• Periods of second kind differentials of $(n,s)$-curves
• Pattern Solutions of the Klausmeier Model for Banded Vegetation in Semiarid Environments IV: Slowly Moving Patterns and Their Stability
• Periods of hyperelliptic integrals expressed in terms of θ -constants by means of Thomae formulae
• Actions of the Neumann systems via Picard-Fuchs equations
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