Mooney-Rivilin压缩杆模型的精确解及其动力学性质  

Exact Solutions to Mooney-Rivilin Compressible Rod Model and Their Dynamical Properties

作　　者：王婧 

机构地区：[1]重庆师范大学数学科学学院,重庆401331

出　　处：《玉溪师范学院学报》2017年第12期15-20,共6页Journal of Yuxi Normal University

基　　金：国家自然科学基金项目;编号:11361023;国家自然科学基金项目;编号:61623020;国家自然科学青年基金项目;编号:11601048

摘　　要：利用动力系统理论中的积分分支法研究Mooney-Rivilin压缩杆模型的行波解,获得了包括尖孤子解、爆破波解、周期波解、亮孤子解和暗孤子解等各种精确行波解.进一步讨论了这些精确行波解随时间演化的动力学行为,并利用Maple软件绘出了具有代表性的精确行波解随时间演化的坐标图形.与现有文献的结果相比,本文所获得的精确解比较新颖.In this paper,different kinds of exact traveling wave solutions including peaked soliton solution,blow-up wave solution,periodic wave solution,bright soliton solution and dark soliton solution were obtained by using the integral bifurcation method of the theory of dynamic system to study the model of Mooney-Rivilin compressible rod.The dynamic behavior of these extract traveling wave solutions evolving along with time were discussed and the coordinate graphs of the time variations of the representative exact traveling wave solutions were drawn with Maple software in order to show their dynamical properties intuitively.Compared with results of existing literature,the exact solutions obtained in this work are very novel.

关 键 词：积分分支法 精确行进波 孤立波解 尖孤子解 

分 类 号：TQ330[化学工程—橡胶工业]