Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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TRAVELING WAVE SOLUTIONS FOR A SHALLOW WATER MODEL

  • Jung, Soyeun (Division of International Studies, Kongju National University)
  • Received : 2017.09.07
  • Accepted : 2017.11.13
  • Published : 2017.12.25
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Abstract

In this note, we seek traveling wave solutions of a shallow water model in a one dimensional space by a simple but rigorous calculation. From the profile equation of traveling wave solutions, we need to investigate the phase portrait of a one dimensional ordinary differential equation $\tilde{u}^{\prime}=F(\tilde{u})$ connecting two end states of the traveling wave solution.

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References

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