Abstract A pair of modified short pulse equations is introduced and its integrable two-component system is discussed. The relations between the short pulse equations and the modified short pulse equations are established. The parametric representations of various solutions are derived by constructing their N -fold Darboux transformations. In particular, multiple smooth solitons, cuspon solitons, loop solitons and breather solutions of the two-component modified short pulse system are discussed in detail and interesting dynamical interactions of its solutions are illustrated with figures.

中文翻译：

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非线性介质中一对修正的短脉冲方程及其二元系统

摘要 介绍了一对修正的短脉冲方程，讨论了其可积的二元系统。建立了短脉冲方程与修正短脉冲方程之间的关系。各种解的参数表示是通过构造它们的 N 折 Darboux 变换来导出的。特别是，详细讨论了双分量改进短脉冲系统的多个光滑孤子、尖角孤子、环路孤子和呼吸器解，并用数字说明了其解的有趣的动力学相互作用。