On billiard solutions of nonlinear PDEs
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Mark S. Alber; Roberto Camassa; Yuri N. Fedorov; Darryl D. Holm; Jerrold E. Mars
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Article
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1999
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Elsevier Science
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English
⚖ 99 KB
This Letter presents some special features of a class of integrable PDEs admitting billiard-type solutions, which set them apart from equations whose solutions are smooth, such as the KdV equation. These billiard solutions are weak solutions that are piecewise smooth and have first derivative discon