论文标题
矩阵修改的korteweg-de Vries方程的孤子解决方案的构建
Construction of soliton solutions of the matrix modified Korteweg-de Vries equation
论文作者
论文摘要
提出了矩阵修改的KDV方程的明确解公式，其中包括参考文献中给出的解决方案。 7（S. Carillo，M。LoSchiavo和C. Schiebold。修改后的Korteweg-de Vries方程的Matrix Solitons解决方案。实际上，参考文献7中的解决方案是作者在即将出版的出版物中详细研究的子类的一部分。在这里，在定性特性方面构建和讨论了该子类以外的几种解决方案。
An explicit solution formula for the matrix modified KdV equation is presented, which comprises the solutions given in Ref. 7 (S. Carillo, M. Lo Schiavo, and C. Schiebold. Matrix solitons solutions of the modified Korteweg-de Vries equation. In: Nonlinear Dynamics of Structures, Systems and Devices, edited by W. Lacarbonara, B. Balachandran, J. Ma, J. Tenreiro Machado, G. Stepan (Springer, Cham, 2020), pp. 75-83). In fact, the solutions in Ref.7 are part of a subclass studied in detail by the authors in a forthcoming publication. Here several solutions beyond this subclass are constructed and discussed with respect to qualitative properties.
