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    1984
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    Hamiltonian model equations
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    noncanonical perturbation expansions
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    Boussinesq expansion
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    long, small amplitude waves
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    shallow water
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    Korteweg-de-Vries equation
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    complete integrability
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    soliton property
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    Depth dependence
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    second-order standard perturbation models
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    mechanism for wave breaking
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