starting from two-dimensional (2d) equations of motion, discretized formulations for transient behavior of soil-structure interaction problems have been derived. two different dynamic infinite elements taking into account single and two-wave types are presented in transformed space. by coupling the infinite elements with standard finite elements, an ordinary finite element procedure is used for...

We put forward a mechanism for tailoring, and even arresting, the collapse of wave packets in nonlinear media, whose dynamics is governed by nonlocal two-dimensional nonlinear Schrödinger-like equations. The key ingredient of the scheme is the self-generation of nonlocal nonlinearities mediated by wave rectification.

The Green Nagdhi equations are frequently used as a model of the wave-like behaviour of the free surface of a uid, or the interface between two homogeneous uids of di ering densities. Here we show that their multilayer extension arises naturally from a framework based on the Euler Poincaré theory under an ansatz of columnar motion. The framework also extends to the travelling wave solutions of ...

We compute time-periodic and relative-periodic solutions of the free-surface Euler equations that take the form of overtaking collisions of unidirectional solitary waves of different amplitude on a periodic domain. As a starting guess, we superpose two Stokes waves offset by half the spatial period. Using an overdetermined shooting method, the background radiation generated by collisions of the...

In this paper paramedial, co-medial and co-paramedial binary multiquasigroups are considered and a characterization of the corresponding component operations of these multiquasigroups is given.

The space derivatives of Freidlin's travelling wave like solutions of generalized KPP equations are considered in this paper. We give estimates of the rst two space derivatives on the wave front and show that the travelling wave is nearly at on the trough and on the crest. Diierentiation of heat semigroups, logarithmic transformation and semi-classical analysis based on stochastic analysis are ...

This article is an introduction to wave equations, emphasizing for simplicity the case of a single space dimension. What we mean by a wave equation will gradually be made more precise as we proceed, but at first, we will just a mean a certain kind of ordinary differential equation on the space C∞(Rn, V ), where V is some finite dimensional vector space, usually R or C, (and generally we will ta...

We consider fifth-order nonlinear dispersive K(m,n, p) type equations to study the effect of nonlinear dispersion. Using simple scaling arguments we show, how, instead of the conventional solitary waves like solitons, the interaction of the nonlinear dispersion with nonlinear convection generates compactons the compact solitary waves free of exponential tails. This interaction also generates ma...

Omer Acan 1,* , Dumitru Baleanu 2,3, Maysaa Mohamed Al Qurashi 4 and Mehmet Giyas Sakar 5 1 Department of Mathematics, Faculty of Art and Science, Siirt University, Siirt 56100, Turkey 2 Department of Mathematics, Faculty of Art and Sciences, Çankaya University, Ankara 06790, Turkey; [email protected] 3 Institute of Space Sciences, Magurele-Bucharest 077125, Romania 4 Department of Mathema...