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Korteweg-de Vries-Burgers' equation

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The Korteweg-de Vries–Burgers equation is a nonlinear partial differential equation:

The equation gives a description for nonlinear waves in dispersive-dissipative media by combining the nonlinear and dispersive elements from the KdV equation with the dissipative element from Burgers' equation.[1]

The modified KdV-Burgers equation can be written as:[2]

See also

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Notes

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References

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  • Polyanin, Andrei D.; Zaitsev, Valentin F. (2003). "9.1.7. Burgers–Korteweg–de Vries Equation and Other Equation". Handbook of Nonlinear Partial Differential Equations. Boca Raton, Fla: Chapman and Hall/CRC. ISBN 978-1-58488-355-5.
  • Wang, Mingliang (1996). "Exact solutions for a compound KdV-Burgers equation". Physics Letters A. 213 (5–6): 279–287. doi:10.1016/0375-9601(96)00103-X.