The paper work relates to Nesterenko's problem to further study the solitary wave when the strong external force acts on the granular chain. We also study the problem under the long-wavelength approximation and find that such kind of solitary wave in system with the initial prestress can be described by the Korteweg-de Vries (KdV) equation. It is found that the results of analytical and numerical are in an excellent agreement. Furthermore, we study the scattering of the KdV solitary wave in different granular materials both in theoretical and numerical methods. It is found that the numbers and the amplitudes of both the reflected and the transmitted waves depend not only on the amplitude of the incident solitary wave but also on the variations of both sides of the discontinuity such as the mass, Young's modulus or radius of the grains. C 2016 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license

In this work, a Monte Carlo code has been developed for quick simulation of carbon ion bombardment in materials. This program realizes the calculation of the displacement damage and ionization of particle (<10MeV/amu) in materials. In addition, high energy carbon (<500MeV/amu) transport calculation is developed to simulate the ionization dose in water. The GPU parallel algorithm is adopted to speed up the program. Subsequently, the vacancies and ionization of target materials induced by various energy carbon iron were simulated and compared with the SRIM2013. Dose depth distributions of different energy carbon in water were simulated and compared with GSI experimental data. Results of simulation are consonant well with SRIM2013 and experimental data. It achieves significant speed-up ratio in different GPU devices.

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