研究Drinfel 'd-Sokolov-Wilson系统孤子与周期波相互作用的扩展一致Riccati展开

IF 2.6 2区数学 Q1 MATHEMATICS, APPLIED

Journal of Computational and Applied Mathematics Pub Date : 2025-09-23 DOI:10.1016/j.cam.2025.117083

Juan Wang, Jinfu Liang

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引用次数: 0

摘要

将一致Riccati展开（CRE）方法推广并应用于求得DSW系统的相互作用解。结果表明，DSW系统可以用扩展的CRE （ECRE）方法求解。利用ECRE方法，明确地得到了DSW系统孤子与Jacobi正弦波相互作用的解。此外，还详细分析了这些相互作用的动力学行为。

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Extended consistent Riccati expansion for investigating interaction between soliton and periodic wave for Drinfel’d–Sokolov–Wilson system

The consistent Riccati expansion (CRE) method is extended and applied to derive interaction solutions of the Drinfel’d-Sokolov-Wilson (DSW) system. It has been shown that the DSW system is solvable using the extended CRE (ECRE) method. By utilizing the ECRE method, interaction solutions between solitons and Jacobi sine periodic waves are explicitly obtained for the DSW system. Furthermore, the dynamic behavior of these interactions is analyzed in detail.

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来源期刊

Journal of Computational and Applied Mathematics 数学-应用数学

CiteScore

5.40

自引率

4.20%

发文量

437

审稿时长

3.0 months

期刊介绍： The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest. The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.