By N -soliton solutions and a velocity resonance mechanism, soliton molecules are constructed for the KdV-Sawada-Kotera-Ramani (KSKR) equation, which is used to simulate resonances of solitons in one-dimensional space. An asymmetric can be formed by adjusting distance between two molecule small enough. The interactions a...

1 Universidad de Caldas, Calle 65 No. 26-10, P.O. Box: Apartado Aéreo 275, Manizales, Caldas, Colombia 2 Department of Mathematics, Universidad Nacional de Colombia, Carrera 27 No. 64-60, P.O. Box: Apartado Aéreo 275, Manizales, Colombia 3 Department of Mathematics, Universidad Nacional de Colombia, Calle 45, Carrera 30. P.O. Box: Apartado Aéreo 52465, Bogota, Colombia 4 Department of Mathemati...

In this paper, a (2+1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada system is investigated in fluid mechanics via the symbolic computation. With help of Hirota method, we derive some singular soliton, shock-wave, breather-stripe soliton and hybrid solutions. Based on finite difference get numerical one-soliton We graphically show shock-wave solutions, observe that solutions are explosive unsta...

Scavia, D. and Eadie, B.J., 1976. The use of measurable coefficients in process formulations -zooplankton grazing. Ecol. Modelling, 2: 315--319. This paper redefines a construct previously used to model phytoplankton--zooplankton interactions in such a way as to permit the use of measurable quantities as construct coefficients. The new construct can use unaltered values of the half-saturation c...

LASATER, MATTHEW SCOTT. Numerical Methods for the Wigner-Poisson Equa-tions. (Under the direction of C.T. Kelley).This thesis applies modern numerical methods to solve the Wigner-Poisson equa-tions for simulating quantum mechanical electron transport in nanoscale semicon-ductor devices, in particular, a resonant tunneling diode (RTD). The goal of thisdissertation is to provi...