用达尔布变换方法求解另一双分量卡马萨-霍姆方程的多孑L解

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion Pub Date : 2024-08-28 DOI:10.1016/j.wavemoti.2024.103396

Gaihua Wang

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引用次数: 0

摘要

在本文中，我们开发了另一种方法，借助倒易变换和量规变换，以弗伦斯基（Wronskians）为单位构建双分量卡马萨-霍尔姆方程的多孤子解。其中介绍了其扭结解、环解和光滑孤子解。然后，利用非三维极限过程，从双分量卡马萨-霍尔姆方程的解中也导出了卡马萨-霍尔姆方程的解。

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The multi-soliton solutions of another two-component Camassa–Holm equation with Darboux transformation approach

In this paper, we develop another approach to construct the multi-soliton solutions of a two-component Camassa–Holm equation in terms of Wronskians with help of a reciprocal transformation and a gauge transformation. Its kink solution, loop solution and smooth soliton solution are presented. Then with the non-trivial limiting procedure, the solution of Camassa–Holm equation is also derived from that of two-component Camassa–Holm equation.

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来源期刊

Wave Motion 物理-力学

CiteScore

4.10

自引率

8.30%

发文量

118

审稿时长

3 months

期刊介绍： Wave Motion is devoted to the cross fertilization of ideas, and to stimulating interaction between workers in various research areas in which wave propagation phenomena play a dominant role. The description and analysis of wave propagation phenomena provides a unifying thread connecting diverse areas of engineering and the physical sciences such as acoustics, optics, geophysics, seismology, electromagnetic theory, solid and fluid mechanics. The journal publishes papers on analytical, numerical and experimental methods. Papers that address fundamentally new topics in wave phenomena or develop wave propagation methods for solving direct and inverse problems are of interest to the journal.