A fifth-order dispersive partial differential equation for curve flow on the sphere

نویسندگان

چکیده

The initial value problem for a fifth-order nonlinear dispersive partial differential equation describing the curve flow on sphere is considered. A typical example of arises in hierarchy completely integrable systems containing one-dimensional classical Heisenberg ferromagnetic spin model. This paper establishes local existence and uniqueness solution to under periodic boundary condition. proof based energy method combined with kind gauge transformation overcome difficulty loss derivative.

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ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 2021

ISSN: ['0022-247X', '1096-0813']

DOI: https://doi.org/10.1016/j.jmaa.2021.125297