J. Yang, "Nonlinear Waves in Integrable and Nonintegrable Systems", SIAM (2010)
p1.m :
Fourier collocation method for computing eigenvalue spectrum of the Zakharov-Shabat system
p2.m :
fourth-order pseudospectral method for integrating the NLS equation
p3.m :
fourth-order split-step method for integrating the NLS equation
p4.m :
fourth-order integrating-factor method for integrating the NLS equation
p5.m :
Petviashvili method for computing the ground state in the 2D NLS equation
p6.m :
AITEM for computing gap solitons in the 2D NLS equation with periodic potentials
p7.m :
MSOM for computing gap solitons in the 2D NLS equation with periodic potentials
p8.m :
Newton-CG method for computing gap solitons in the 2D NLS equation with periodic potentials
p9.m :
Fourier collocation method for computing the whole stability spectrum of 1D solitary waves
p10.m :
Fourier collocation method for computing the whole stability spectrum of 2D solitary waves
p11.m :
Newton-CG method for computing individual stability eigenvalues of solitary waves