Entire functions related to stationary solutions of the Kawahara equation

• Main Authors: Andre Luiz C. dos Santos, Patricia N. da Silva, Carlos Frederico Vasconcellos
• Format: Article
• Language: English
• Published: Texas State University 2016-01-01
• Series: Electronic Journal of Differential Equations
• Subjects: Entire functions; Mobius transformations; stationary solutions; Kawahara equation
• Online Access: http://ejde.math.txstate.edu/Volumes/2016/43/abstr.html
• ISSN: 1072-6691

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.