Entire functions related to stationary solutions of the Kawahara equation
Date
2016-01-29
Authors
Santos, Andre Luiz Cordeiro dos
Nunes da Silva, Patricia
Vasconcellos, Carlos Frederico
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this study, we characterize the lengths of intervals for which the linear Kawahara equation has a non-trivial solution, whose energy is stationary. This gives rise to a family of complex functions. Characterizing the lengths amounts to deciding which members of this family are entire functions. Our approach is essentially based on determining the existence of certain Mobius transformation.
Description
Keywords
Entire functions, Mobius transformations, Stationary solutions, Kawahara equation
Citation
Santos, A. L. C., Silva, P. N., & Vasconcellos, C. F. (2016). Entire functions related to stationary solutions of the Kawahara equation. Electronic Journal of Differential Equations, 2016(43), pp. 1-13.
Rights
Attribution 4.0 International