solitary wave

简明释义

孤立波

英英释义

例句

1.In oceanography, a solitary wave 孤立波 can represent a large wave that moves independently of others.

在海洋学中，孤立波 solitary wave 可以表示一个独立于其他波的大波。

2.The physicist explained how a solitary wave 孤立波 can propagate through a medium without changing shape.

物理学家解释了如何通过介质传播的 孤立波 solitary wave 可以不改变形状。

3.A solitary wave 孤立波 can be observed in certain types of optical fibers under specific conditions.

在特定条件下，可以在某些类型的光纤中观察到 孤立波 solitary wave 。

4.The study of solitary waves 孤立波 is crucial for understanding nonlinear dynamics in various fields.

对 孤立波 solitary waves 的研究对于理解各个领域的非线性动态至关重要。

5.Engineers use models of solitary waves 孤立波 to predict the behavior of shock waves in materials.

工程师使用 孤立波 solitary waves 的模型来预测材料中冲击波的行为。

作文

In the realm of physics and mathematics, the concept of a solitary wave refers to a wave that maintains its shape while traveling at a constant speed. This phenomenon is particularly fascinating because it challenges the traditional understanding of wave behavior. Unlike regular waves that disperse over time, a solitary wave can propagate without changing its form, which makes it an important subject of study in various fields, including fluid dynamics, optics, and even biology.The origins of the solitary wave concept can be traced back to the study of nonlinear partial differential equations. In simpler terms, these equations describe systems where the output is not directly proportional to the input. For example, in shallow water waves, when a disturbance occurs, the resulting wave can become steep and narrow, eventually forming a solitary wave. This type of wave is characterized by its ability to travel long distances without losing energy or shape.One of the most famous examples of a solitary wave is the soliton. A soliton is a self-reinforcing wave packet that arises in certain nonlinear systems. It was first observed in the context of water waves by John Scott Russell in the 19th century. He described a wave that moved along a canal without changing its form, which he called the "wave of translation." This discovery laid the groundwork for further research into solitary waves and their properties.In addition to water waves, solitary waves can also be found in other physical systems. For instance, in optics, light can exhibit solitary wave behavior under specific conditions, leading to the formation of optical solitons. These phenomena have practical applications in telecommunications, where maintaining the integrity of signals over long distances is crucial.Moreover, the study of solitary waves extends beyond the physical sciences. In biological systems, researchers have identified solitary waves in the propagation of nerve impulses. The way that signals travel along neurons can be modeled as a solitary wave, providing insights into how information is transmitted in the nervous system.The implications of understanding solitary waves are vast. In engineering, for example, knowledge of how these waves behave can lead to better designs for structures that need to withstand wave forces, such as bridges and dams. In medicine, insights from solitary wave behavior could inform treatments for neurological disorders where signal transmission is disrupted.In conclusion, the study of solitary waves is a rich and evolving field that bridges multiple disciplines. Whether in the context of water waves, light, or biological systems, the ability of a solitary wave to maintain its shape and energy over time presents both challenges and opportunities for researchers. As we continue to explore this intriguing phenomenon, we may uncover new applications and deepen our understanding of the natural world.

在物理和数学领域，孤立波的概念指的是一种在以恒定速度传播时保持其形状的波。这一现象尤其引人入胜，因为它挑战了传统的波动行为理解。与常规波在时间上扩散不同，孤立波可以在不改变其形式的情况下传播，这使得它在流体动力学、光学甚至生物学等多个领域成为重要的研究对象。孤立波概念的起源可以追溯到对非线性偏微分方程的研究。简单来说，这些方程描述了输出与输入之间不是直接成比例的系统。例如，在浅水波中，当发生扰动时，产生的波可以变得陡峭且狭窄，最终形成孤立波。这种类型的波的特点是能够在不失去能量或形状的情况下传播很长的距离。一个最著名的孤立波例子是孤子。孤子是一种自我增强的波包，出现在某些非线性系统中。它最早是在19世纪由约翰·斯科特·拉塞尔观察到的，他描述了一种沿着运河移动而不改变其形式的波，他称之为“平移波”。这一发现为进一步研究孤立波及其性质奠定了基础。除了水波，孤立波还可以在其他物理系统中找到。例如，在光学中，在特定条件下，光可以表现出孤立波的行为，从而导致光学孤子的形成。这些现象在电信中具有实际应用，其中保持信号在长距离上传输的完整性至关重要。此外，对孤立波的研究超越了物理科学。在生物系统中，研究人员已经在神经冲动的传播中识别出了孤立波。信号在神经元沿袭的传播方式可以建模为孤立波，提供了关于信息如何在神经系统中传递的见解。理解孤立波的意义是广泛的。在工程学中，例如，了解这些波的行为可以导致更好的设计，以承受波力的结构，如桥梁和大坝。在医学中，来自孤立波行为的见解可能会为治疗信号传输中断的神经系统疾病提供信息。总之，孤立波的研究是一个丰富而不断发展的领域，跨越多个学科。无论是在水波、光或生物系统的背景下，孤立波能够在时间上保持其形状和能量的能力为研究人员提供了挑战和机会。随着我们继续探索这一引人入胜的现象，我们可能会发现新的应用，并加深对自然世界的理解。