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ES_APPM 431: Nonlinear Wave Propagation


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Description

Propagation of discontinuities; application of perturbation and asymptotic methods. Shock dynamics; applications to gas dynamics and detonation. Periodic solutions; Poincare's method. Nonlinear dispersive waves; applications to water waves and nonlinear acoustics and optics. Soliton theory, inverse scattering, Korteweg-Devries equation, sine Gordon equation.