Darboux transformation and exact multisolitons of nonlinear sigma model

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• 作者：U. Saleem ; ^{usaleem.physics@pu.edu.pk" class="auth_mail" title="E-mail the corresponding author} ; ^{usman_physics@yahoo.com" class="auth_mail" title="E-mail the corresponding author} ; M. Hassan ^{mhassan.physics@pu.edu.pk" class="auth_mail" title="E-mail the corresponding author}
• 关键词：CPNCPN model ; Multisolitons ; Darboux transformation ; Quasideterminant
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：15 March 2017
• 年：2017
• 卷：447
• 期：2
• 页码：1080-1101
• 全文大小：1210 K

文摘

Exact multisolitons of babad32f458e748b82" title="Click to view the MathML source">CP^N$\mathbb{C}{P}^N$ sigma model are obtained by using Darboux transformation in terms of quasideterminant Darboux matrix. The multisoliton solutions are shown to be expressed in terms of quasideterminants of Gelfand and Retakh (1991) [10]. The method of quasideterminant Darboux matrix has been shown to be related with the dressing method that has already been used to compute iteratively exact multisolitons of the babad32f458e748b82" title="Click to view the MathML source">CP^N$\mathbb{C}{P}^N$ sigma model by means of nonlinear superposition principle of Bäcklund transformations. Explicit expressions of one, two and three soliton solutions of CP¹$\mathbb{C}{P}^1$ model have been computed by using properties of quasideterminants.