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. <i>Electronic Journal of Differential Equations, 2016</i>(43), pp. 1-13.

Rights

Attribution 4.0 International

Rights Holder

Rights License