推广的约化Ostrovsky方程的解分类
Solutions Classification to the Extended Reduced Ostrovsky Equation
摘要：
提出了Parkes方法[SIGMA 4（2008）053，arXiv：0806.3155]的替代方法，用于扩展的约化Ostrovsky方程（Parkes术语中的exROE）的解分类。该方法是基于微分方程的定性理论的应用，其中包括一个机械模拟与点粒子运动的势场，相平面法，分析同宿轨线等。这样的方法似乎更生动和自由的一些限制所载的上述帕克斯的文件。
英文摘要：
An alternative to the Parkes' approach [SIGMA 4 (2008) 053, arXiv:0806.3155] is suggested for the solutions categorization to the extended reduced Ostrovsky equation (the exROE in Parkes' terminology). The approach is based on the application of the qualitative theory of differential equations which includes a mechanical analogy with the point particle motion in a potential field, the phase plane method, analysis of homoclinic trajectories and the like. Such an approach is seemed more vivid and free of some restrictions contained in the above mentioned Parkes' paper.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
