Andre Luiz C. dos Santos, Patricia N. da Silva,
Carlos Frederico Vasconcellos
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.
Submitted November 20, 2014. Published January 29, 2016.
Math Subject Classifications: 30D20, 35Q53.
Key Words: Entire functions; Mobius transformations; stationary solutions;
Kawahara equation.
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André Luiz C. dos Santos DEMAT/CEFET/Maracanã; PPG-EM/UERJ - Rua Fonseca Teles, 121, 1o. andar, São Cristóvão Rio de Janeiro, RJ. CEP: 20940-903, Brazil email: andreluiz.cordeiro@gmail.com |
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Patrícia N. da Silva IME/UERJ, Rua São Francisco Xavier, 524, 6o. andar Rio de Janeiro, RJ, CEP 20550-900, Brazil email: nunes@ime.uerj.br |
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Carlos Frederico Vasconcellos IME/UERJ, Rua São Francisco Xavier, 524, 6o.~andar Rio de Janeiro, RJ, CEP 20550-900, Brazil email: cfredvasc@ime.uerj.br |
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