We identify a finite wave-number instability of a 90 degrees tilt grain boundary in three-dimensional lamellar phases which is absent in two-dimensional configurations. Both a stability analysis of the slowly varying amplitude or envelope equation for the boundary, and a direct numerical solution of an order parameter model equation are presented. The instability mode involves two-dimensional p...

In this paper, we propose a novel approach to the identification of multiple-input multiple-output (MIMO) wave propagation models having a common-denominator pole-zero parametrization. We show how the traditional, purely data-based identification approach can be improved by incorporating a physical wave propagation model, in the form of a spatiotemporally discretized version of the wave equatio...

The problem of the exact bounded control oscillations two-dimensional membrane is considered. Control force applied to boundary membrane, which located in a domain on plane. goal drive system rest finite time.

In this paper, we obtained the 1-soliton solutions of the symmetric regularized long wave (SRLW) equation and the (3+1)-dimensional shallow water wave equations. Solitary wave ansatz method is used to carry out the integration of the equations and obtain topological soliton solutions The physical parameters in the soliton solutions are obtained as functions of the dependent coefficients. Note t...

In this paper, the direct Ansäz method is used for constructing the multi-wave solutions to the (2+1)-dimensional extension of the Korteweg de-Vries (shortly EKdV) equation. A new breather type of three-wave solutions including periodic breather type soliton solution, breather type of two-solitary solution are obtained. Some cases with specific values of the involved parameters are plotted for ...