Browsing by Author "Muñoz, Claudio"

Now showing items 1-7 of 7

    • Breathers and the Dynamics of Solutions in KdV Type Equations 
      Muñoz, Claudio; Ponce, Gustavo (Springer New York LLC, 2019)
      © 2018, Springer-Verlag GmbH Germany, part of Springer Nature. In this paper our first aim is to identify a large class of non-linear functions f(·) for which the IVP for the generalized Korteweg–de Vries equation does not ...
    • Instability in nonlinear Schrödinger breathers 
      Muñoz, Claudio (Universidad Catolica del Norte, 2017)
      We consider the focusing Nonlinear Schrödinger equation posed on the one dimensional line, with nonzero background condition at spatial infinity, given by a homogeneous plane wave. For this problem of physical interest, ...
    • Nonlinear stability of 2-solitons of the sine-Gordon equation in the energy space 
      Muñoz, Claudio; Palacios, José M. (Elsevier Masson SAS, 2019)
      © 2018 Elsevier Masson SASIn this article we prove that 2-soliton solutions of the sine-Gordon equation (SG) are orbitally stable in the natural energy space of the problem H1×L2. The solutions that we study are the 2-kink, ...
    • On the dynamics of zero-speed solutions for camassa-holm-type equations 
      Alejo, Miguel A.; Cortez, Manuel Fernando; Kwak, Chulkwang; Muñoz, Claudio (Oxford, 2021)
      In this paper, we consider globally defined solutions of Camassa–Holm (CH)-type equations outside the well-known nonzero-speed, peakon region. These equations include the standard CH and Degasperis–Procesi (DP) equations, ...
    • Singular limits for the bi-Laplacian operator with exponential nonlinearity in R-4 
      Clapp, Mónica; Muñoz, Claudio; Musso, Mónica (GAUTHIER-VILLARS/EDITIONS ELSEVIER, 2008-10)
      Let Omega be a bounded smooth domain in R-4 such that for some integer d >= 1 its d-th singular cohomology group with coefficients in some field is not zero, then problem {Delta(2)u - rho(4)k(x)e(u) = 0 in Omega, u = ...
    • The scattering problem for Hamiltonian ABCD Boussinesq systems in the energy space 
      Kwak, Chulkwang; Muñoz, Claudio; Poblete, Felipe; Pozo, Juan C. (Elsevier Masson SAS, 2019)
      © 2018 Elsevier Masson SASThe Boussinesq abcd system is a 4-parameter set of equations posed in Rt×Rx, originally derived by Bona, Chen and Saut [11,12] as first order 2-wave approximations of the incompressible and ...
    • The two-dimensional Lazer-McKenna conjecture for an exponential nonlinearity 
      Pino Manresa, Manuel del; Muñoz, Claudio (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2006-12-01)
      We consider the problem of Ambrosetti-Prodi type [GRAPHICS] where Q is a bounded, smooth domain in R-2, phi(1) is a positive first eigenfunction of the Laplacian under Dirichlet boundary conditions and h is an element ...