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Solitary Waves and Solitons
The Schrodinger Equation and the Kbrtewegde Vries Equation
9 other sections not shown
Ablowitz analytic Backlund transformation boundary conditions calculation carrier wave Chapter coefficients collision complex consider constant corresponding defined density derivatives determined differential equations dispersion relation eigenfunctions eigenvalues energy evolution equations example existence field finite fluid formula Fourier frcm generalised given gives Hamiltonian initial data initial value problem instability integral interaction inverse method inverse scattering inverse scattering transform isospectral Jost solutions KdV equation kink kink solutions Klein-Gordon equation Lemma linear long wave Marchenko equation matrix MKdV N-soliton NLS equation nonlinear equations normalisation obtain operator parameter particle perturbation Phys physical potential properties quantum R+(k resonance result satisfy scales scattering data scattering problem Schrodinger equation Section sine-Gordon equation solitary wave soliton soliton solutions solvable equations solve spectral singularities spectrum superconducting Theorem theory topological charge unique variable vector velocity wave function Wronskian Zakharov zero