Interactions of the solutions of a coupled system of Benjamin-Bona-Mahony type in weighted spaces

Authors

  • Hernan Oscar Cortez Gutiérrez
  • Girady Iara Cortez Fuentes Rivera
  • Milton Milciades Cortez Gutiérrez
  • Liv Jois Cortez Fuentes Rivera
  • Deolinda Ellyda Fuentes Rivera Vallejo

DOI:

https://doi.org/10.46932/sfjdv2n1-058

Keywords:

global existence, coupled system, weighted Sobolev

Abstract

Interactions of the solutions are a part of collisions of wave systems. We prove the existence of the solutions of  a coupled system of Benjamin- Bona-Mahony (BBM) type  in a weighted Sobolev space with initial data. we are concerned with a dispersive system for an appropriate class of nonlinearities. The study  for a coupled system of BBM type without weighted was initiated by Bisognin,V.  Further results can be found in Bona,J.-Ponce,G.-Saut,J.C.  .

Published

2021-05-05

How to Cite

Gutiérrez, H. O. C. ., Rivera, G. I. C. F. ., Gutiérrez, M. M. C. ., Rivera, L. J. C. F. ., & Vallejo, D. E. F. R. . (2021). Interactions of the solutions of a coupled system of Benjamin-Bona-Mahony type in weighted spaces. South Florida Journal of Development, 2(1), 812–820. https://doi.org/10.46932/sfjdv2n1-058

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