The Gardner equation is an integrable nonlinear partial differential equation introduced by the mathematician Clifford Gardner in 1968 to generalize KdV equation and modified KdV equation. The Gardner equation has applications in hydrodynamics, plasma physics and quantum field theory ^[1]

${\displaystyle {\frac {\partial u}{\partial t}}-(6\varepsilon ^{2}u^{2}+6u){\frac {\partial u}{\partial x}}+{\frac {\partial ^{3}u}{\partial x^{3}}}=0,}$

where ${\displaystyle \varepsilon }$ is an arbitrary real parameter.

• Korteweg–de Vries equation

• Shingareva, Inna; Lizárraga-Celaya, Carlos (2011). Solving Nonlinear Partial Differential Equations with Maple and Mathematica. Wien ; New York: Springer Science & Business Media. ISBN  978-3-7091-0517-7. OCLC  751824407.

This article about theoretical physics is a stub. You can help Wikipedia by expanding it.

• v
• t
• e