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1. Introduction; 2. Linear waves and instabilities in infinite media; 3. Convective and non-convective instabilities; group velocity in unstable media; 4. A first look at surface waves and instabilities; 5. Model equations for small amplitude waves and solitons; weakly nonlinear theory; 6. Exact methods for fully nonlinear waves and solitons; 7. Cartesian solitons in one and two space dimensions; 8. Evolution and stability of initially one-dimensional waves and solitons; 9. Cylindrical and spherical solitons in plasmas and other media; 10. Soliton metamorphosis; 11. Non-coherent phenonemena; Appendices; References.

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