1 Asymptotic Expansion.- 2 Hyperbolic Waves.- 3 Water Waves.- 4 Scattering and Inverse Scattering.- 5 Burgers Equation.- 6 Forced KdV Equation.- 7 Sine-Gordon and Nonlinear Schrödinger.- 8 Selected Examples of Flow Instabilities.- 9 Wave Interactions and X-Ray Crystallography.- Appendix A KdV Solitons via Inverse Scattering.- Appendix B KdV Solitons via Bäckluand Transform.- B.1 Bäcklund Transform Program.- B.2 Two Solitons.- B.3 Three Solitons.- B.4 Four Solitons.- B.5 Five Solitons.- B.6 Six Solitons.- B.7 Seven Solitons.- Appendix C Derivation of the Stationary KdV.

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