Asymptotic Behavior of Solutions for the k-gKdV Equations

  • Felipe LinaresEmail author
  • Gustavo Ponce
Part of the Universitext book series (UTX)


This chapter is concerned with the longtime behavior of solutions to the initial value problem (IVP) associated to the k-generalized Korteweg-de Vries (k-gKdV) equations. We shall restrict ourselves to consider only real solutions of the associated IVP. We will discuss global well-posedness results as well as some blow-up results.


Solitary Wave Travel Wave Solution Initial Value Problem Solitary Wave Solution mKdV Equation 
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Copyright information

© Springer-Verlag New York 2015

Authors and Affiliations

  1. 1.Instituto Nacional de Matemática Pura e Aplicada (IMPA)Rio de JaneiroBrazil
  2. 2.Dept. MathematicsUniversity of California, Santa Barbara College of Letters & ScienceSanta BarbaraUSA

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