变形修正Korteweg-de Vries方程:多孤子解及其相互作用

IF 1.9 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Pramana Pub Date : 2023-07-12 DOI:10.1007/s12043-023-02581-6

S Suresh Kumar

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引用次数: 0

摘要

本文证明了如何利用Hirota的双线性方法推导变形修正Korteweg-de Vries (KdV)方程的单孤子解、双孤子解和三孤子解。我们注意到，导出的孤子解依赖于时间相关函数，表明孤子解的速度不再明确地依赖于波的振幅。最后，我们用图形展示了多孤子解及其相互作用的演化过程。

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The deformed modified Korteweg–de Vries equation: Multi-soliton solutions and their interactions

In this paper, we demonstrate how Hirota’s bilinear method can be employed to derive single-soliton, two-soliton and three-soliton solutions of the deformed modified Korteweg–de Vries (KdV) equation. We note that the derived soliton solutions depend on the time-dependent function, revealing that the speed of the soliton solutions no longer explicitly depends on wave amplitude. Finally, we graphically demonstrate the evolution of multi-soliton solutions and their interactions.

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来源期刊

Pramana 物理-物理：综合

CiteScore

3.60

自引率

7.10%

发文量

206

审稿时长

3 months

期刊介绍： Pramana - Journal of Physics is a monthly research journal in English published by the Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association. The journal publishes refereed papers covering current research in Physics, both original contributions - research papers, brief reports or rapid communications - and invited reviews. Pramana also publishes special issues devoted to advances in specific areas of Physics and proceedings of select high quality conferences.