Solitons

Ablowitz Abramowitz & Stegun amplitude Bäcklund transformation breather Chapter cnoidal waves coefficients conservation laws cubic Schrödinger equation deduce defined density derivatives dispersive wave train eigenfunction eigenvalues elementary particles elliptic functions equation 6.2 evolution equation example f₁ f₂ finite Gardner gives groups ikx ikx infinity initial-value problem integral equation inverse scattering transform Klein-Gordon equation Korteweg-de Vries equation linear long waves Math Mathematical method of inverse Miura modified KdV equation motion nonlinear equations nonlinear partial differential nonlinear wave operator ordinary differential equation oscillations parameter partial differential equation permanent form Phys propagation properties scattering problem Schrödinger equation Show sine-Gordon equation siny sketch solitary wave soliton interactions soliton solutions solitons solution of equation solution u(x,t solve variable velocity w₁ water waves wave equation waves of permanent Zakharov zero ди дх Эх