Rahul Sharma (Editor)

Rosenau–Hyman equation

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The Rosenau–Hyman equation or K(n,n) equation is a KdV-like equation having compacton solutions. This nonlinear partial differential equation is of the form

u t + a ( u n ) x + ( u n ) x x x = 0.

The equation is named after Philip Rosenau and James M. Hyman, who used in their 1993 study of compactons.

The K(n,n) equation has the following traveling wave solutions:

  • when a > 0
  • when a < 0

    • References

    Rosenau–Hyman equation Wikipedia
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