Nonlinear Periodic Waves and their Modulations - An Introductory Course

Introduction and basic concepts nonlinear wave equations in physics Whitham theory of modulations complete integrability of nonlinear wave equations periodic solutions dissipationless shock wave nonlinear theory of modulational instability. Appendices: some formulas from the theory of elliptic functions algebraic resolvents of fourth degree polynomials solutions to exercises.

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