8 citations · 21 across the 12 of their papers we have counts for
5 papers · 1 filter
On the long time behavior of solutions to the Intermediate Long Wave equation
Claudio Muñoz, Gustavo Ponce, Jean-Claude Saut
We show that the limit infimum, as time goes to infinity, of any uniformly bounded in time solution to the Intermediate Long Wave equation converge to ze…
Decay in the one dimensional generalized Improved Boussinesq equation
Christopher Maulén, Claudio Muñoz
We consider the decay problem for the generalized improved (or regularized) Boussinesq model with power type nonlinearity, a modification of the originally ill-posed shallow water…
Soliton dynamics for the 1D NLKG equation with symmetry and in the absence of internal modes
Michal Kowalczyk, Yvan Martel, Claudio Muñoz
We consider the dynamics of even solutions of the one-dimensional nonlinear Klein-Gordon equation for , in the vicinity of th…
Asymptotic dynamics for the small data weakly dispersive one-dimensional Hamiltonian ABCD system
Chulkwang Kwak, Claudio Muñoz
Consider the Hamiltonian system in one dimension, with data posed in the energy space . This model, introduced by Bona, Chen and Saut, is a well-known physica…
Stability and instability of breathers in the Sasa-Satusuma and Nonlinear Schrödinger models
Miguel A. Alejo, Luca Fanelli, Claudio Muñoz
We consider the Sasa-Satsuma (SS) and Nonlinear Schrödinger (NLS) equations posed along the line, in 1+1 dimensions. Both equations are canonical integrable models, with sol…