Can a travelling wave be nonlinear?

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    Nonlinear Wave
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Discussion Overview

The discussion centers around the question of whether a traveling wave can be nonlinear, exploring the nature of such waves and their characteristics in different media. Participants consider theoretical and practical examples of nonlinear traveling waves.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • Some participants propose that nonlinear traveling waves can exist, particularly in nonlinear media.
  • One participant suggests that it is possible to derive an equation for a nonlinear traveling wave by examining the definitions of "traveling wave" and "nonlinear equation."
  • Another participant introduces the concept of solitons as examples of nonlinear waves that can propagate over long distances while maintaining their shape due to the interplay of nonlinearity and dispersion.
  • There is a mention of the challenges associated with understanding these concepts at different levels of expertise, implying that deeper engagement may be necessary for clarity.

Areas of Agreement / Disagreement

Participants generally agree that nonlinear traveling waves can exist, but there are varying levels of understanding and approaches to the topic. The discussion remains open with multiple viewpoints and examples presented.

Contextual Notes

Some assumptions about the definitions of traveling waves and nonlinear equations may not be fully articulated, and the discussion does not resolve the complexities involved in deriving equations for nonlinear traveling waves.

shanepitts
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I'm am almost certain that the answer to this question is "yes". If so, what in nature can be a nonlinear traveling wave?
 
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Look up Solitons. They are waves that propagate for long distances and maintain their shape because of a combination of non-linearity and dispersion.
 
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