solitons

简明释义

英[sɒˈlɪtɒnz]美[ˈsɑːlɪtɑːnz]

n. [等离子]孤立子；孤波（soliton 的复数形式）

英英释义

单词用法

同义词

反义词

例句

1.The characteristic of the photovoltaic spatial solitons in two-photon photorefractive media is influenced by the temperature of the media.

具有双光子光折变效应的光折变介质温度的变化对光伏孤子性质具有影响。

2.We study the interactions between the vortex solitons, factors of influence on their shape and conditions of realizing stable vortex solitons.

研究了涡旋孤子之间的相互作用，影响涡旋孤子形状的因素和实现稳定孤子的条件。

3.The dynamics of vectorial coupled-mode solitons in one-dimensional shallow grating photonic crystals with quadratic and cubic nonlinearities is discussed.

研究同时具有二阶和三阶非线性效应的一维浅栅光子晶体中的矢量耦合模孤子动力学。

4.Use of optical solitons singular characteristics, can achieve optical solitons communications.

利用光孤子的奇异特性，可以实现光孤子通信。

5.Surface solitons have potential applications in optical sensing, switching and exploration of intrinsic and extrinsic surface characteristics.

而光学表面波孤子在光学检测、光学转换器、探测界面物理特性等方面有着潜在的应用价值。

6.The numerical results also show that it is effective to choose appropriate proportion of amplitude for restraining the interaction of bright solitons.

数值模拟的结果还表明，选择合适的振幅比对于抑制亮孤子间的相互作用有较好的效果。

7.The effects of two-photon absorption and Raman amplification on the propagation of fundamental optical solitons are studied.

研究了双光子吸收与喇曼放大对基本光孤子传输的影响。

8.Evolution of pulses obtained by modulating spatial optical solitons in a Kerr nonlinearity planar waveguide with anomalous dispersion is investigated.

分析研究了空间光孤子脉冲化后在反常群速色散的克尔非线性平面光波导中的传输特性和稳定性。

9.The control of nonlinear gain for interaction between solitons has been studied by numerical analysis in band-limited amplification propagation system.

应用数值分析方法研究了带宽限制放大传输系统中非线性增益对孤子间相互作用的控制作用。

10.Scientists have discovered that solitons 孤立子 can carry information over long distances without distortion.

科学家发现，孤立子 孤立子可以在不失真的情况下传递信息，跨越长距离。

11.In mathematical physics, solitons 孤立子 are solutions to certain nonlinear equations that maintain their shape while traveling at constant speeds.

在数学物理中，孤立子 孤立子是某些非线性方程的解，这些解在以恒定速度移动时保持其形状。

12.The study of solitons 孤立子 has applications in fields such as fluid dynamics and plasma physics.

对孤立子 孤立子的研究在流体动力学和等离子体物理等领域有应用。

13.In nonlinear optics, researchers study the behavior of light waves and their interactions with solitons 孤立子 to develop advanced communication technologies.

在非线性光学中，研究人员研究光波的行为及其与孤立子 孤立子的相互作用，以开发先进的通信技术。

14.The concept of solitons 孤立子 is crucial in understanding wave propagation in shallow water.

理解浅水中的波传播时，孤立子 孤立子的概念至关重要。

作文

In the study of nonlinear physics, the concept of solitons (孤立子) plays a pivotal role in understanding wave phenomena. A soliton is a self-reinforcing solitary wave packet that maintains its shape while traveling at constant speed. This unique behavior arises due to a delicate balance between nonlinearity and dispersion in the medium through which the wave propagates. The study of solitons has profound implications across various fields, including fluid dynamics, optical fibers, and even quantum field theory.The term soliton was first introduced in the 19th century when mathematician John Scott Russell observed a wave in a canal that traveled for miles without changing shape. This observation sparked interest in the mathematical properties of such waves, leading to the development of the Korteweg-de Vries equation, which describes the behavior of shallow water waves. The solutions to this equation include solitons, demonstrating how they can arise in natural systems.One of the most fascinating aspects of solitons is their stability. Unlike ordinary waves that dissipate energy over time, solitons can travel indefinitely without losing their form. This property has significant applications in modern technology, particularly in the field of telecommunications. For instance, solitons are utilized in optical fibers to transmit information over long distances. By exploiting the stability of solitons, engineers can create signals that maintain integrity and reduce the risk of distortion.Moreover, the study of solitons extends beyond classical physics into the realm of quantum mechanics. In quantum field theory, solitons can represent stable particle-like solutions to nonlinear field equations. These solutions help physicists understand phenomena such as instantons and monopoles, which are crucial for the unification of fundamental forces in nature.The mathematical framework surrounding solitons is rich and complex. Researchers have developed various methods to analyze and classify these waves, including inverse scattering transform and Hirota's direct method. These techniques allow scientists to derive soliton solutions for a wide range of nonlinear equations, further expanding our understanding of wave dynamics.In conclusion, solitons (孤立子) represent a captivating intersection of mathematics and physics. Their unique properties and stability make them essential for both theoretical research and practical applications. As we continue to explore the complexities of nonlinear systems, the significance of solitons will undoubtedly grow, paving the way for advancements in science and technology. Understanding solitons not only enriches our knowledge of wave phenomena but also inspires innovation in various fields, proving that sometimes, the simplest wave can carry profound implications.

在非线性物理学的研究中，solitons（孤立子）的概念在理解波现象方面发挥着关键作用。soliton 是一种自我增强的孤立波包，它在以恒定速度传播的同时保持其形状。这种独特的行为源于波动传播介质中的非线性和色散之间的微妙平衡。对solitons的研究在流体动力学、光纤甚至量子场论等多个领域具有深远的影响。soliton这个术语最早在19世纪被引入，当时数学家约翰·斯科特·拉塞尔观察到运河中的一波浪潮在不改变形状的情况下行驶了数英里。这一观察引发了对此类波动数学性质的兴趣，导致了Korteweg-de Vries方程的发展，该方程描述了浅水波的行为。该方程的解包括solitons，展示了它们如何在自然系统中产生。solitons最迷人的一个方面是它们的稳定性。与普通波动随时间耗散能量不同，solitons可以无限期地传播而不失去其形状。这一特性在现代技术中具有重要应用，特别是在电信领域。例如，solitons被用于光纤中，以长距离传输信息。通过利用solitons的稳定性，工程师可以创建保持完整性并减少失真的信号。此外，solitons的研究不仅限于经典物理学，还扩展到量子力学的领域。在量子场论中，solitons可以表示非线性场方程的稳定粒子状解。这些解帮助物理学家理解瞬子和单极子等现象，这对于自然界基本力量的统一至关重要。围绕solitons的数学框架丰富而复杂。研究人员开发了多种方法来分析和分类这些波，包括反散射变换和广田直接法。这些技术使科学家能够推导出各种非线性方程的soliton解，进一步扩展我们对波动态的理解。总之，solitons（孤立子）代表了数学和物理学的迷人交汇点。它们独特的属性和稳定性使它们对理论研究和实际应用至关重要。随着我们继续探索非线性系统的复杂性，solitons的重要性无疑会增长，为科学和技术的进步铺平道路。理解solitons不仅丰富了我们对波现象的知识，也激发了各个领域的创新，证明有时，最简单的波动可以承载深远的意义。