The vector generalization of the Landau–Lifshitz equation: Bäcklund transformation and solutions

Integrable Anisotropic Evolution Equations on a Sphere

“…The presented Bäcklund transformations can be used, first, for obtaining the soliton-like solutions (see [13]) and, secondly, for constructing the superposition formulas and new discrete integrable systems.…”

“…The constants a and b are arbitrary. One can set a = 0 in (13) and in (16). In (18) we may choose a = 0 or b = 0 but {a, b} = 0.…”

Формулы Суперпозиции Для Интегрируемых Векторных Эволюционных Уравнений

“…Решения в специальных случаях описаны в работе [8]. Полученное нами в [9] автопреобразование Беклунда уравнения (2.1) имеет вид…”