Fifth-order Korteweg–De Vries equation
A fifth-order Korteweg–De Vries (KdV) equation is a nonlinear partial differential equation in 1+1 dimensions related to the Korteweg–De Vries equation. Fifth order KdV equations may be used to model dispersive phenomena such as plasma waves when the third-order contributions are small. The term may refer to equations of the form where formula_2 is a smooth function and formula_3 and formula_4 are real with formula_5. Unlike the KdV system, it is not integrable. It admits a great variety of soliton solutions. Fifth-order Korteweg–De Vries equation A