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Transverse instability of periodic standing waves for the generalized nonlinear Schrodinger equation
Fabio Natali, Gabriel E. Bittencourt Moraes
In this paper, we determine the transverse instability of periodic standing wave solutions for the generalized Schrödinger equation with fractional power nonlinearity. The existenc…
Orbital Stability of Periodic Traveling Waves for the "abcd" Boussinesq Systems
Gabriel E. Bittencourt Moraes, Guilherme de Loreno, Fábio Natali
New results concerning the orbital stability of periodic traveling wave solutions for the "abcd" Boussinesq model will be shown in this manuscript. For the existence of solutions,…
Cnoidal waves for the quintic Klein-Gordon and Schrödinger equations: Existence and orbital instability
Gabriel E. Bittencourt Moraes, Guilherme de Loreno
In the present paper, we establish the existence and orbital instability results of cnoidal periodic waves for the quintic Klein-Gordon and nonlinear Schrödinger equations. The spe…