Help Solve a Puzzle: Read Figure Below

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hanson
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Hi all.
Please kindly read the figure below and see if you can help me. Thanks.
 
Attachments
  • Typed mathematical text on a white background: an evolution equation for a wave, two methods for choosing parameters to build a solitary wave of amplitude 0.1, and the sech-squared solution formulas.
    question.JPG
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Discussion

Both methods are perfectly valid, resulting in solutions with different properties. There are an infinite number of solitoids with height 0.1. What other properties do you want it to have?
 

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