@article{oai:kochi.repo.nii.ac.jp:02000210,
 author = {小野寺, 栄治 and 山﨑, 遥},
 issue = {1},
 journal = {Journal of Mathematical Analysis and Applications},
 month = {Nov},
 note = {The initial value problem for a fifth-order nonlinear dispersive partial differential equation describing the curve flow on the sphere is considered. A typical example of the equation arises in a hierarchy of completely integrable systems containing one-dimensional classical Heisenberg ferromagnetic spin model. This paper establishes the local existence and uniqueness of a solution to the initial value problem under the periodic boundary condition. The proof is based on the energy method combined with a kind of gauge transformation to overcome the difficulty of a loss of derivative.},
 title = {A fifth-order dispersive partial differential equation for curve flow on the sphere},
 volume = {503},
 year = {2021}
}