2 problems
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Conjecture on unbounded smooth wavetrain branches for the HP shallow-water model
Let the three bidirectional Whitham models under consideration include the model … and … extend to arbitrarily high-amplitude smooth solutions. This conjecture is based on numerica…
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Completeness conjecture for the three-parameter family of discrete wavetrains
Let , , and . Theorem 1 gives a three-parameter family of wavetrains with profiles , where is the admiss…