DOI

We discuss the possibility of using the intersection points of the common level surface of integrals of motion with an auxiliary curve to construct finite-difference equations corresponding to different discretizations of the original integrable system. As an example, we consider the generalized one-dimensional oscillator with third- and fifth-degree nonlinearity, for which we show that the intersection divisors of the hyperelliptic curve with straight lines, quadrics, and cubics generate families of integrable discrete maps.

Язык оригиналаанглийский
Страницы (с-по)1806-1822
Число страниц17
ЖурналTheoretical and Mathematical Physics(Russian Federation)
Том197
Номер выпуска3
DOI
СостояниеОпубликовано - 1 дек 2018

    Предметные области Scopus

  • Статистическая и нелинейная физика
  • Математическая физика

ID: 37502098