摘要
这份报纸是调查可变系数的修改 Kortweg-de Vries (vc-mKdV ) 为力学建模，它从液体力学，海洋动力学，和血浆描述一些状况。由 AblowitzKaupNewellSegur 过程和符号的计算， vc-MKdV 模型的宽松的对被导出。基于上述的宽松的对，然后， Darboux 转变被构造，一个新 one-soliton-like 答案也被获得。one-soliton-like 答案的特征被分析并且图形地讨论了在 solitonlike 繁殖说明可变系数的影响。
This paper is to investigate a variable-coefficient modified Kortweg-de Vries （vc-mKdV） model, which describes some situations from fluid mechanics, ocean dynamics, and plasma mechanics. By the AblowRz-Kaup-NewellSegur procedure and symbolic computation, the Lax pair of the vc-MKdV model is derived. Then, based on the aforementioned Lax pair, the Darboux transformation is constructed and a new one-soliton-like solution is obtained as weft Features of the one-soliton-like solution are analyzed and graphically discussed to illustrate the influence of the variable coefficients in the solitonlike propagation.
基金
Supported by the National Natural Science Foundation of China under Grant No. 60772023
by the Open Fund of the State Key Laboratory of Software Development Environment under Grant No. BUAA-SKLSDE-09KF-04
Beijing University of Aeronautics and Astronautics, by the National Basic Research Program of China (973 Program) under Grant No. 2005CB321901
by the Specialized Research Fund for the Doctoral Program of Higher Education under Grant Nos. 20060006024 and 200800130006, Chinese Ministry of Education
