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Korteweg-de Vries-Burgers-Fisher equation

The KdV-Burgers-Fisher equation (or Koçak's equation) is a nonlinear partial differential equation,

∂ t u + μ ∂ x 3 u + ϵ u ∂ x u − ν ∂ x 2 u = r u ( 1 − u ) {\displaystyle \displaystyle \partial _{t}u+\mu \partial _{x}^{3}u+\epsilon u\partial _{x}u-\nu \partial _{x}^{2}u=ru(1-u)} , which combines different entities such as dispersion (from the Korteweg–de Vries equation), dissipation (from the Burgers' equation) and reaction (from the KPP–Fisher equation). The KdV-Burgers-Fisher equation is often abbreviated as the KBF equation or the KdVBF equation.

See also Korteweg–de Vries equation Burgers' equation KPP–Fisher equation

References

Tags

  • Mathematical analysis stubs
  • Partial differential equations