TY - JOUR
T1 - The continuous classical Heisenberg ferromagnet equation with in-plane asymptotic conditions
T2 - II. IST and closed-form soliton solutions
AU - Demontis, Francesco
AU - Ortenzi, Giovanni
AU - Sommacal, M.
AU - van der Mee, Cornelis
PY - 2019/6/1
Y1 - 2019/6/1
N2 - A new, general, closed-form soliton solution formula for the classical Heisenberg ferromagnet equation with in-plane asymptotic conditions is obtained by means of the inverse scattering transform technique and the matrix triplet method. This formula encompasses the soliton solutions already known in the literature as well as a new class of soliton solutions (the so-called multipole solutions), allowing their classification and description. Examples from all classes are provided and discussed.
AB - A new, general, closed-form soliton solution formula for the classical Heisenberg ferromagnet equation with in-plane asymptotic conditions is obtained by means of the inverse scattering transform technique and the matrix triplet method. This formula encompasses the soliton solutions already known in the literature as well as a new class of soliton solutions (the so-called multipole solutions), allowing their classification and description. Examples from all classes are provided and discussed.
KW - Classical Heisenberg ferromagnet equation
KW - Soliton solutions
KW - Inverse scattering transform
KW - Magnetic droplet
KW - Ferromagnetic materials
U2 - 10.1007/s11587-018-0395-7
DO - 10.1007/s11587-018-0395-7
M3 - Article
VL - 68
SP - 163
EP - 178
JO - Ricerche di Matematica
JF - Ricerche di Matematica
SN - 0035-5038
IS - 1
ER -