Nonlinear Evolution Equations

Аннотация

With the study of soliton and chaos in modern physics, a large number of nonlin-ear evolution equations with nonlinear dispersion or dissipation have continuously emerged, including KdV equation, nonlinear Schrödinger equation, sine-Gordon equation, Zakharov equation, Landau–Lifshitz equation, and Boussinesq equation, which have soliton solutions. Navier–Stokes equation and Newton–Boussinesq equa- tion, which describe the phenomena of turbulence and chaos; nonlinear Schrödinger equation and Zakharov equation with dissipation and damping, et cetera, have also attracted much interest.