Instability of standing waves for the generalized Davey-Stewartson system
Blow-up solutions and strong instability of standing waves for the generalized Davey-Stewartson system in
Stability of solitary waves for derivative nonlinear Schrödinger equation
Error analysis of splitting methods for semilinear evolution equations
We consider a Strang-type splitting method for an abstract semilinear evolution equation Roughly speaking, the splitting method is a time-discretization approximation based on the decomposition of the operators and Particularly, the Strang method is a popular splitting method and is known to be convergent at a second order rate for some particular ODEs and PDEs. Moreover, such estimates usually address the case of splitting the operator into two parts. In this paper, we consider the splitting...
Strong instability of solitary waves for nonlinear Klein–Gordon equations and generalized Boussinesq equations
Nonlinear Schrödinger equation with a point defect
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