Theoretical and experimental evidence of non-symmetric doubly localized rogue waves

We present determinant expressions for vector rogue wave solutions of the Manakov system, a two-component coupled nonlinear Schr\"odinger equation. As special case, we generate a family of exact and non-symmetric rogue wave solutions of the nonlinear Schr\"odinger equation up to third-order, localized in both space and time. The derived non-symmetric doubly-localized second-order solution is generated experimentally in a water wave flume for deep-water conditions. Experimental results, confirming the characteristic non-symmetric pattern of the solution, are in very good agreement with theory as well as with numerical simulations, based on the modified nonlinear Schr\"odinger equation, known to model accurately the dynamics of weakly nonlinear wave packets in deep-water.Comment: 15 pages, 7 figures, accepted by Proceedings of the Royal Society

The hierarchy of higher order solutions of the derivative nonlinear Schr\"odinger equation

In this paper, we provide a simple method to generate higher order position solutions and rogue wave solutions for the derivative nonlinear Schr\"odinger equation. The formulae of these higher order solutions are given in terms of determinants. The dynamics and structures of solutions generated by this method are studied

The Analysis of the Internal Forces in Strengthened Old Concrete Bridge Subject to Vehicular Load by Transforming Simply Supported into Continuous System

In the past half century, large numbers of simply supported bridges were constructed in China; however, with the passing of years and the increase in the volume of transport, many of the bridges are out of normal service level and even gradually lose their bearing capacity due to overload or environmental influence. Therefore, some strengthening works have to be carried out in order for these old bridges to work well. Among the common strengthening methods, an efficient way to transform a simply supported into a continuous system is widely used in simply supported bridges with small or medium span. After the transformation of the system, the internal forces in the bridge are redistributed. This paper investigated, using the FEM software ANSYS, both the endogen forces of an old T-type bridge transformed from a simply supported to a continuous system under vehicular load. The result of the analysis indicates that the flexural moments in mid-span of all lateral T beams are significantly decreased and negative moments at supports are formed, while the shear forces in controlling sections are increased that are required to be reinforced based on the computation. In addition, after transformation, both longitudinal and lateral stiffnesses of T beams are improved that provides beneficial effects on the deflections of the bridge

The higher order Rogue Wave solutions of the Gerdjikov-Ivanov equation

We construct higher order rogue wave solutions for the Gerdjikov-Ivanov equation explicitly in term of determinant expression. Dynamics of both soliton and non-soliton solutions is discussed. A family of solutions with distinct structures are presented, which are new to the Gerdjikov-Ivanov equation

Engineering aggregates with chemical linkers for tissue engineering application

Master'sMASTER OF SCIENC