The trajectories of particles can be directly derived from third-order parametric equations in the Lagrangian coordinates. In Figures 2A–D, the particle trajectories for progressive flexural-gravity ...

The method of separation of variables in the Dirac equation proposed in an earlier work by one of the present authors [J. Math. Phys. 3 0, 2132 (1989)] is developed for the complete set of ...

Abstract: The exact general solution of the magnetohydrodynamic evolution equation for infinite conductivity is obtained in Cartesian coordinates for the case that the velocity has only one component ...

Tomás Caraballo, José Real, Takeshi Taniguchi, On the Existence and Uniqueness of Solutions to Stochastic Three-Dimensional Lagrangian Averaged Navier-Stokes Equations, Proceedings: Mathematical, ...

This paper presents the structure of the four-legged robot (Mini-Bot), dynamical equation of the multibody system, numerical results for the generation of the positions of each leg in the Cartesian ...