Books for waves in Non-linear and dispersive media?

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Thread starter andresB
Start date Apr 5, 2016
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Books Non-linear Waves

In summary, studying books on waves in non-linear and dispersive media is significant because it helps us understand and predict the behavior of wave phenomena in various physical systems. Non-linear and dispersive media can be found in examples such as water waves, sound waves, and electromagnetic waves, and can cause unexpected effects on wave propagation such as the formation of solitons. The difference between linear and non-linear media lies in the relationship between input and output, with non-linear media having a non-proportional relationship. Mathematical models and techniques, such as the Korteweg-de Vries equation and the Fourier transform, can be used to model and analyze waves in non-linear and dispersive media.

Apr 5, 2016

andresB

What are the best book out there to learn about wave dynamic in Non-linear and dispersive media?

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Apr 10, 2016

deskswirl

For dispersive media I would suggest the two volumes by Oughstun entitled Electromagnetic and Optical Pulse Propagation.

Related to Books for waves in Non-linear and dispersive media?

1. What is the significance of studying books on waves in non-linear and dispersive media?

The study of waves in non-linear and dispersive media is important because it helps us understand and predict the behavior of wave phenomena in various physical systems. This knowledge is crucial in fields such as optics, acoustics, and fluid dynamics, and has practical applications in areas such as telecommunications and medical imaging.

2. What are some examples of non-linear and dispersive media?

Some examples of non-linear and dispersive media include water waves, sound waves in air, and electromagnetic waves in optical fibers. These systems exhibit non-linear behavior, meaning that the relationship between input and output is not proportional, and dispersive behavior, meaning that the speed of the wave depends on its frequency.

3. How does non-linearity affect the propagation of waves?

Non-linearity can cause waves to behave in unexpected ways, such as creating harmonics or causing wave packets to break up into smaller waves. It can also lead to the formation of solitons, which are localized, self-sustaining waves that maintain their shape and speed while propagating in a non-linear medium.

4. What is the difference between linear and non-linear media?

In linear media, the relationship between the input and output of a wave is proportional, meaning that the wave does not change its shape as it propagates. In non-linear media, this relationship is not proportional, and the wave may change its shape or interact with other waves as it propagates.

5. How can we model and analyze waves in non-linear and dispersive media?

There are various mathematical models and techniques for analyzing waves in non-linear and dispersive media, such as the Korteweg-de Vries equation, the nonlinear Schrödinger equation, and the Fourier transform. These models and techniques allow us to predict the behavior of waves in different media and understand the underlying physical processes involved.