This is the second paper of a trilogy intended by authors in what concerns unified approach to stability thermoelastic arched beams Bresse type under Fourier’s law. Differently first one, where thermal couplings are regarded on axial and bending displacements, here taken over shear forces. Such effects still result new prototype partially damped system whose results demand proper approach. Combining novel path local estimates means resolvent equation along with control-observability analysis...

New results concerning the orbital stability of periodic traveling wave solutions for "abcd" Boussinesq model will be shown in this manuscript. For existence solutions, we use basic tools ordinary differential equations to show that corresponding depends on Jacobi elliptic function cnoidal type. The spectral analysis associated linearized operator is determined by using some Floquet theory. then established applying abstract [2] and [14] which give us sufficient conditions a general class...

New results concerning the orbital stability of periodic traveling wave solutions for 'abcd' Boussinesq model will be shown in this manuscript. For existence solutions, we use basic tools ordinary differential equations to show that corresponding depends on Jacobi elliptic function cnoidal type. The spectral analysis associated linearized operator is determined by using some Floquet theory. then established applying abstract [2,14] which give us sufficient conditions a general class...

In this paper, we determine the transverse instability of periodic standing wave solutions for generalized Schr\"odinger equation with fractional power nonlinearity. The existence waves is determined by using a constrained minimization problem in complex setting, and it shown that corresponding real solution, depending on nonlinearity, always positive or changes its sign. results are then applying main result given \cite{RoussetTzvetkov} case.

In the present paper, we establish existence and orbital instability results of cnoidal periodic waves for quintic Klein-Gordon nonlinear Schr\"odinger equations. The spectral analysis corresponding linearized operator is established by using Floquet theory. determined applying an abstract result due to Shatah Strauss.

In this paper, the existence and orbital stability of periodic standing waves solutions for nonlinear fractional Schrodinger (fNLS) equation with cubic nonlinearity is studied. The determined by using a minimizing constrained problem in complex setting we it showed that corresponding real solution always positive. proved combining some tools regarding positive operators, oscillation theorem Hill operators Vakhitov-Kolokolov condition, well known equations. We then perform numerical approach...

Results concerning the existence and spectral stability instability of multiple periodic wave solutions for nonlinear Schr\"odinger system with \textit{dnoidal} \textit{cnoidal} profile will be determined in this manuscript. The analysis corresponding linearized operator is established by using comparison theorem tools Floquet theory. main results are applying theory \cite{KapitulaKevrekidisSandstedeI} \cite{KapitulaKevrekidisSandstedeII} via Krein signature.

In this paper, we establish orbital stability results of cnoidal periodic waves for the cubic nonlinear Klein-Gordon and Schr\"odinger equations. The spectral analysis corresponding linearized operator is established by using Floquet theory a Morse Index Theorem. First, prove that equation are orbitally unstable as direct application Grillakis, Shatah Strauss' theory. constructing suitable Lyapunov functional restricted to associated zero mean energy space.