PDE 16: Korteweg-de Vries equation
The KdV equation is given by \[ u_t + q u u_x + u_{xxx} = 0. \]
where \(q\) is some constant.
Google: the KdV equation, solitons, nonlinear wave equations, completely integrable systems, Lax pair.
The KdV equation is given by \[ u_t + q u u_x + u_{xxx} = 0. \]
where \(q\) is some constant.
Google: the KdV equation, solitons, nonlinear wave equations, completely integrable systems, Lax pair.