Theory of Solitons: The Inverse Scattering Method |
Contents
I | 1 |
II | 11 |
III | 12 |
IV | 23 |
V | 26 |
VI | 32 |
VII | 35 |
VIII | 37 |
XXVII | 157 |
XXVIII | 163 |
XXIX | 174 |
XXX | 180 |
XXXI | 184 |
XXXII | 189 |
XXXIII | 205 |
XXXIV | 206 |
Common terms and phrases
Abelian differentials algebraic amplitude analytical arbitrary asymptotic behavior asymptotic form b₂ Bloch branch points calculate canonical Chapter coefficients commute complex consider construct coordinates cycles decreasing defined depend derived discrete spectrum E-plane eigenfunction eigenvalues expression finite finite-gap follows forbidden band function GGKM given Hamiltonian system higher-order KdV infinity initial condition integrals of motion inverse problem inverse scattering method lattice linear matrix nonlinear Schrödinger equation obtain oscillations parameter periodic Poisson bracket poles polynomial potential u(x quasi-periodic Riemann problem Riemann surface satisfies scattering data Schrödinger operator simple sine-Gordon equation soliton soliton solutions solution of Eq solving space subspaces Substituting system of equations takes the form theory Toda lattice transformation U₁ upper half-plane variables vector velocity virtue wave zeros δι მე მყ