On exponential decay properties of the solutions to a class of nonlocal dispersive equations
Considered herein is a class of nonlocal dispersive wave equations,which in-corporates physics of short wavelength scales.At first,we give the results with respect to decay property of exponential type of its solitary solutions to the class steady nonlocal dispersive equations.It is of great interest to extend the study of the decay property of a single equation to a class of equations.Then,based on the local well-posedness results of the Cauchy problem associated with the equations,we investigate the persistence prop-erties of the strong solution to this problem,provided the initial data decays at infinity.
a class of nonlocal dispersive equationssolitary-wave solutionsexponential decaypersistence properties
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