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首页> 外文期刊>Physica status solidi, B. Basic research >Computer simulation of solitary waves in a common or auxetic elastic rod with both quadratic and cubic nonlinearities
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Computer simulation of solitary waves in a common or auxetic elastic rod with both quadratic and cubic nonlinearities

机译：具有二次和三次非线性的共同或拉力弹性杆中的孤立波的计算机模拟

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摘要

Results of numerical simulations are presented for propagation of solitary waves in an elastic rod of positive or negative Poisson's ratio, i.e. of a common or auxetic material. Splitting of various initial pulses during propagation into a sequence of solitary waves is considered in frames of a model which contains both quadratic and cubic nonlinear terms. The obtained results are compared with some exact analytic solutions, called soliton , what leads to the conclusion that the solitons describe well the more complicated wave fields which are obtained by numerical simulations. This is because the analytic solutions reflect complete balance between various orders of nonlinearity and dispersion. Collisions between some obtained solitary waves are also presented.
机译：给出了数值模拟的结果，用于孤立波在正或负泊松比（即普通材料或发胀材料）的弹性杆中的传播。在包含二次和三次非线性项的模型框架中考虑了传播过程中各种初始脉冲的分裂成一系列孤立波。将获得的结果与一些精确的解析解（称为孤子）进行比较，得出的结论是，孤子很好地描述了通过数值模拟获得的更复杂的波场。这是因为解析解反映了非线性和色散各个阶次之间的完全平衡。还介绍了一些获得的孤立波之间的碰撞。

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