Korteweg-de Vries-Burgers equation

Template:Short description The Korteweg–de Vries–Burgers equation is a nonlinear partial differential equation:

$u_t+\alpha u_{xxx}+u{u}_x-\beta u_{xx}=0.$

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.Template:Sfn

The modified KdV–Burgers equation can be written as:Template:Sfn

$u_t+a{u}_{xxx}+u^2{u}_x-b{u}_{xx}=0.$

See also

• Burgers' equation
• Korteweg–de Vries equation
• modified KdV equation

References

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