New Exact Traveling Wave Solutions of (2 + 1)-Dimensional Time-Fractional Zoomeron Equation

In this paper, the new mapping approach and the new extended auxiliary equation approach were used to investigate the exact traveling wave solutions of (2 + 1)-dimensional time-fractional Zoomeron equation with the conformable fractional derivative. As a result, the singular soliton solutions, kink and anti-kink soliton solutions, periodic function soliton solutions, Jacobi elliptic function solutions and hyperbolic function solutions of (2 + 1)-dimensional time-fractional Zoomeron equation were obtained. Finally, the 3D and 2D graphs of some solutions were drawn by setting the suitable values of parameters with Maple, and analyze the dynamic behaviors of the solutions.

Peakon Excitations and Fractal Dromions for General (2+1)-Dimensional Korteweg de Vries System

By means of an extended mapping approach and a linear variable separation approach,a new family ofexact solutions of the general (2+1)-dimensional Korteweg de Vries system (GKdV) are derived.Based on the derivedsolitary wave excitation,we obtain some special peakon excitations and fractal dromions in this short note.

Mapping the technology footprint in design for social innovation

Technology and design are increasingly recognized as important drivers of social innovation(SI).While new-age technologies can disrupt the realm of social innovation through resource-efficient solutions and multiple outcome benefits,the appliction of design thinking approaches and techniques can enhance the potential for SI through humancentered participatory processes and a socially shared vision and impact.Despite extensive research focusing on SI practices driven by technology and design respectively,few studies have concentrated on the synergistic effects of technology and design in the field of SI.This paper addresses this gap through an exploratory study on the incorporation and role of technology in the practice of design for SI.By applying the mapping approach to a sample of 81 Design-enabled Innovation(DEI)pilot projects in the DESIGNSCAPES project,the distribution,hosts and manifestations of technology footprints are identified,taking into account the multi-phase innovation processes and multifaceted role of design.Our findings suggest that in design-supported SI,technology can be integrated in a systematic and conventional manner across a range of domains related to people,interactions,contexts,and artefacts and that its interaction with design actions is highly dependent on the different roles of design,followed by a further discussion of a conceptual argument regarding the possible role of technology in supporting design for SI.Based on these findings and results,the article concludes with the limitations of the study and possible theoretical and managerial implications.

Numerical Solution of Partial Differential Equations in Random Domains:An Application to Wind Engineering

An application of recent uncertainty quantification techniques to Wind Engineering is presented.In particular,the study of the effects of small geometric changes in the Sunshine Skyway Bridge deck on its aerodynamic behavior is addressed.This results in the numerical solution of a proper PDE posed in a domain affected by randomness,which is handled through a mapping approach.A non-intrusive Polynomial Chaos expansion allows to transform the stochastic problem into a deterministic one,in which a commercial code is used as a black-box for the solution of a number of Reynolds-Averaged Navier-Stokes simulations.The use of proper Gauss-Patterson nested quadrature formulas with respect to a Truncated Weibull probability density function permits to limit the number of these computationally expensive simulations,though maintaining a sufficient accuracy.Polynomial Chaos approximations,statistical moments and probability density functions of time-independent quantities of interest for the engineering applications are obtained.

Shape optimization of 3D curved slots and its application to the squirrel-cage elastic support design

The squirrel-cage elastic support is one of the most important components of an aero-engine rotor system.A proper structural design will favor the static and dynamic performances of the system.In view of the deficiency of the current shape optimization techniques,a new mapping approach is proposed to define shape design variables based on the parametric equations of 3D curves and surfaces.It is then applied for the slot shape optimization of a squirrel-cage elastic support.To this end,an automatic design procedure that integrates the Genetic Algorithm (GA) is developed to solve the problem.Two typical examples with different shape constraints are considered.Numerical results provide reasonable optimum designs for the improvement of stiffness and strength of the squirrel-cage elastic support.